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Finding the Fourth Proportional to 15,423.87, 23,147.97 and 7,927.13

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Solution

The fourth proportional to 15,423.87, 23,147.97 and 7,927.13 is: 11,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423.87 : 23,147.97 = 7,927.13 : x
  2. Step 2: Convert to fraction form
    15,423.87/23,147.97 = 7,927.13/x
  3. Step 3: Cross multiply
    15,423.87x = 23,147.97 × 7,927.13
  4. Step 4: Simplify right side
    15,423.87x = 183,496,967.43
  5. Step 5: Solve for x
    x = 183,496,967.43/15,423.87
  6. Step 6: Final answer
    x = 11,896.95

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1.5x scale

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.