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Finding the Fourth Proportional to 11,493.13, 15,862.23 and 7,019.47

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Solution

The fourth proportional to 11,493.13, 15,862.23 and 7,019.47 is: 9,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.13 : 15,862.23 = 7,019.47 : x
  2. Step 2: Convert to fraction form
    11,493.13/15,862.23 = 7,019.47/x
  3. Step 3: Cross multiply
    11,493.13x = 15,862.23 × 7,019.47
  4. Step 4: Simplify right side
    11,493.13x = 111,344,447.62
  5. Step 5: Solve for x
    x = 111,344,447.62/11,493.13
  6. Step 6: Final answer
    x = 9,687.91

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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.