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Finding the Fourth Proportional to 38,258, 57,389.16 and 13,634

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Solution

The fourth proportional to 38,258, 57,389.16 and 13,634 is: 20,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,258 : 57,389.16 = 13,634 : x
  2. Step 2: Convert to fraction form
    38,258/57,389.16 = 13,634/x
  3. Step 3: Cross multiply
    38,258x = 57,389.16 × 13,634
  4. Step 4: Simplify right side
    38,258x = 782,443,807.44
  5. Step 5: Solve for x
    x = 782,443,807.44/38,258
  6. Step 6: Final answer
    x = 20,451.77

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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.