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Finding the Fourth Proportional to 42,650, 63,975 and 11,485.26

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Solution

The fourth proportional to 42,650, 63,975 and 11,485.26 is: 17,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,650 : 63,975 = 11,485.26 : x
  2. Step 2: Convert to fraction form
    42,650/63,975 = 11,485.26/x
  3. Step 3: Cross multiply
    42,650x = 63,975 × 11,485.26
  4. Step 4: Simplify right side
    42,650x = 734,769,508.50
  5. Step 5: Solve for x
    x = 734,769,508.50/42,650
  6. Step 6: Final answer
    x = 17,227.89

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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.