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Finding the Fourth Proportional to 38,116.50, 52,600.77 and 21,349.50

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Solution

The fourth proportional to 38,116.50, 52,600.77 and 21,349.50 is: 29,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116.50 : 52,600.77 = 21,349.50 : x
  2. Step 2: Convert to fraction form
    38,116.50/52,600.77 = 21,349.50/x
  3. Step 3: Cross multiply
    38,116.50x = 52,600.77 × 21,349.50
  4. Step 4: Simplify right side
    38,116.50x = 1,123,000,139.12
  5. Step 5: Solve for x
    x = 1,123,000,139.12/38,116.50
  6. Step 6: Final answer
    x = 29,462.31

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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.