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Finding the Fourth Proportional to 38,047.50, 52,505.73 and 21,280.50

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Solution

The fourth proportional to 38,047.50, 52,505.73 and 21,280.50 is: 29,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047.50 : 52,505.73 = 21,280.50 : x
  2. Step 2: Convert to fraction form
    38,047.50/52,505.73 = 21,280.50/x
  3. Step 3: Cross multiply
    38,047.50x = 52,505.73 × 21,280.50
  4. Step 4: Simplify right side
    38,047.50x = 1,117,348,187.27
  5. Step 5: Solve for x
    x = 1,117,348,187.27/38,047.50
  6. Step 6: Final answer
    x = 29,367.19

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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.