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Finding the Fourth Proportional to 25,438.05, 38,151 and 7,665.03

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Solution

The fourth proportional to 25,438.05, 38,151 and 7,665.03 is: 11,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.05 : 38,151 = 7,665.03 : x
  2. Step 2: Convert to fraction form
    25,438.05/38,151 = 7,665.03/x
  3. Step 3: Cross multiply
    25,438.05x = 38,151 × 7,665.03
  4. Step 4: Simplify right side
    25,438.05x = 292,428,559.53
  5. Step 5: Solve for x
    x = 292,428,559.53/25,438.05
  6. Step 6: Final answer
    x = 11,495.71

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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.