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Finding the Fourth Proportional to 42,563, 63,844.50 and 11,397.56

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Solution

The fourth proportional to 42,563, 63,844.50 and 11,397.56 is: 17,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,563 : 63,844.50 = 11,397.56 : x
  2. Step 2: Convert to fraction form
    42,563/63,844.50 = 11,397.56/x
  3. Step 3: Cross multiply
    42,563x = 63,844.50 × 11,397.56
  4. Step 4: Simplify right side
    42,563x = 727,671,519.42
  5. Step 5: Solve for x
    x = 727,671,519.42/42,563
  6. Step 6: Final answer
    x = 17,096.34

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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.