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Finding the Fourth Proportional to 38,246.56, 57,356.80 and 13,280

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Solution

The fourth proportional to 38,246.56, 57,356.80 and 13,280 is: 19,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246.56 : 57,356.80 = 13,280 : x
  2. Step 2: Convert to fraction form
    38,246.56/57,356.80 = 13,280/x
  3. Step 3: Cross multiply
    38,246.56x = 57,356.80 × 13,280
  4. Step 4: Simplify right side
    38,246.56x = 761,698,304
  5. Step 5: Solve for x
    x = 761,698,304/38,246.56
  6. Step 6: Final answer
    x = 19,915.47

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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.