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Finding the Fourth Proportional to 15,427, 23,138.07 and 7,106.68

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Solution

The fourth proportional to 15,427, 23,138.07 and 7,106.68 is: 10,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,427 : 23,138.07 = 7,106.68 : x
  2. Step 2: Convert to fraction form
    15,427/23,138.07 = 7,106.68/x
  3. Step 3: Cross multiply
    15,427x = 23,138.07 × 7,106.68
  4. Step 4: Simplify right side
    15,427x = 164,434,859.31
  5. Step 5: Solve for x
    x = 164,434,859.31/15,427
  6. Step 6: Final answer
    x = 10,658.90

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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.