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Finding the Fourth Proportional to 15,423, 23,138.58 and 8,851.50

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Solution

The fourth proportional to 15,423, 23,138.58 and 8,851.50 is: 13,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423 : 23,138.58 = 8,851.50 : x
  2. Step 2: Convert to fraction form
    15,423/23,138.58 = 8,851.50/x
  3. Step 3: Cross multiply
    15,423x = 23,138.58 × 8,851.50
  4. Step 4: Simplify right side
    15,423x = 204,811,140.87
  5. Step 5: Solve for x
    x = 204,811,140.87/15,423
  6. Step 6: Final answer
    x = 13,279.59

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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.