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Finding the Fourth Proportional to 38,123.90, 57,157 and 17,038.40

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Solution

The fourth proportional to 38,123.90, 57,157 and 17,038.40 is: 25,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,123.90 : 57,157 = 17,038.40 : x
  2. Step 2: Convert to fraction form
    38,123.90/57,157 = 17,038.40/x
  3. Step 3: Cross multiply
    38,123.90x = 57,157 × 17,038.40
  4. Step 4: Simplify right side
    38,123.90x = 973,863,828.80
  5. Step 5: Solve for x
    x = 973,863,828.80/38,123.90
  6. Step 6: Final answer
    x = 25,544.71

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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.