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Finding the Fourth Proportional to 15,543.78, 23,304.74 and 7,747.13

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Solution

The fourth proportional to 15,543.78, 23,304.74 and 7,747.13 is: 11,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,543.78 : 23,304.74 = 7,747.13 : x
  2. Step 2: Convert to fraction form
    15,543.78/23,304.74 = 7,747.13/x
  3. Step 3: Cross multiply
    15,543.78x = 23,304.74 × 7,747.13
  4. Step 4: Simplify right side
    15,543.78x = 180,544,695.14
  5. Step 5: Solve for x
    x = 180,544,695.14/15,543.78
  6. Step 6: Final answer
    x = 11,615.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.