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Finding the Fourth Proportional to 10,122.13, 13,978.19 and 9,569.91

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Solution

The fourth proportional to 10,122.13, 13,978.19 and 9,569.91 is: 13,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.13 : 13,978.19 = 9,569.91 : x
  2. Step 2: Convert to fraction form
    10,122.13/13,978.19 = 9,569.91/x
  3. Step 3: Cross multiply
    10,122.13x = 13,978.19 × 9,569.91
  4. Step 4: Simplify right side
    10,122.13x = 133,770,020.26
  5. Step 5: Solve for x
    x = 133,770,020.26/10,122.13
  6. Step 6: Final answer
    x = 13,215.60

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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.