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Finding the Fourth Proportional to 7,686.56, 10,596.76 and 6,496.48

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Solution

The fourth proportional to 7,686.56, 10,596.76 and 6,496.48 is: 8,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.56 : 10,596.76 = 6,496.48 : x
  2. Step 2: Convert to fraction form
    7,686.56/10,596.76 = 6,496.48/x
  3. Step 3: Cross multiply
    7,686.56x = 10,596.76 × 6,496.48
  4. Step 4: Simplify right side
    7,686.56x = 68,841,639.40
  5. Step 5: Solve for x
    x = 68,841,639.40/7,686.56
  6. Step 6: Final answer
    x = 8,956.11

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Half scale
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Double scale
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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.