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Finding the Fourth Proportional to 38,047, 52,505.04 and 21,280

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Solution

The fourth proportional to 38,047, 52,505.04 and 21,280 is: 29,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047 : 52,505.04 = 21,280 : x
  2. Step 2: Convert to fraction form
    38,047/52,505.04 = 21,280/x
  3. Step 3: Cross multiply
    38,047x = 52,505.04 × 21,280
  4. Step 4: Simplify right side
    38,047x = 1,117,307,251.20
  5. Step 5: Solve for x
    x = 1,117,307,251.20/38,047
  6. Step 6: Final answer
    x = 29,366.50

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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.