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Finding the Fourth Proportional to 10,957.26, 15,121 and 5,989.26

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Solution

The fourth proportional to 10,957.26, 15,121 and 5,989.26 is: 8,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.26 : 15,121 = 5,989.26 : x
  2. Step 2: Convert to fraction form
    10,957.26/15,121 = 5,989.26/x
  3. Step 3: Cross multiply
    10,957.26x = 15,121 × 5,989.26
  4. Step 4: Simplify right side
    10,957.26x = 90,563,600.46
  5. Step 5: Solve for x
    x = 90,563,600.46/10,957.26
  6. Step 6: Final answer
    x = 8,265.17

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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.