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Finding the Fourth Proportional to 7,657.45, 10,534.47 and 7,329.40

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Solution

The fourth proportional to 7,657.45, 10,534.47 and 7,329.40 is: 10,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.45 : 10,534.47 = 7,329.40 : x
  2. Step 2: Convert to fraction form
    7,657.45/10,534.47 = 7,329.40/x
  3. Step 3: Cross multiply
    7,657.45x = 10,534.47 × 7,329.40
  4. Step 4: Simplify right side
    7,657.45x = 77,211,255.10
  5. Step 5: Solve for x
    x = 77,211,255.10/7,657.45
  6. Step 6: Final answer
    x = 10,083.16

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Half 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.