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Finding the Fourth Proportional to 42,565, 63,847.50 and 13,381

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Solution

The fourth proportional to 42,565, 63,847.50 and 13,381 is: 20,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565 : 63,847.50 = 13,381 : x
  2. Step 2: Convert to fraction form
    42,565/63,847.50 = 13,381/x
  3. Step 3: Cross multiply
    42,565x = 63,847.50 × 13,381
  4. Step 4: Simplify right side
    42,565x = 854,343,397.50
  5. Step 5: Solve for x
    x = 854,343,397.50/42,565
  6. Step 6: Final answer
    x = 20,071.50

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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.