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Finding the Fourth Proportional to 15,469.92, 23,139 and 9,215.64

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Solution

The fourth proportional to 15,469.92, 23,139 and 9,215.64 is: 13,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.92 : 23,139 = 9,215.64 : x
  2. Step 2: Convert to fraction form
    15,469.92/23,139 = 9,215.64/x
  3. Step 3: Cross multiply
    15,469.92x = 23,139 × 9,215.64
  4. Step 4: Simplify right side
    15,469.92x = 213,240,693.96
  5. Step 5: Solve for x
    x = 213,240,693.96/15,469.92
  6. Step 6: Final answer
    x = 13,784.21

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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.