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Finding the Fourth Proportional to 7,688.34, 10,611.99 and 7,223.70

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Solution

The fourth proportional to 7,688.34, 10,611.99 and 7,223.70 is: 9,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.34 : 10,611.99 = 7,223.70 : x
  2. Step 2: Convert to fraction form
    7,688.34/10,611.99 = 7,223.70/x
  3. Step 3: Cross multiply
    7,688.34x = 10,611.99 × 7,223.70
  4. Step 4: Simplify right side
    7,688.34x = 76,657,832.16
  5. Step 5: Solve for x
    x = 76,657,832.16/7,688.34
  6. Step 6: Final answer
    x = 9,970.66

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.