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Finding the Fourth Proportional to 15,023.64, 20,732.22 and 8,309.40

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Solution

The fourth proportional to 15,023.64, 20,732.22 and 8,309.40 is: 11,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.64 : 20,732.22 = 8,309.40 : x
  2. Step 2: Convert to fraction form
    15,023.64/20,732.22 = 8,309.40/x
  3. Step 3: Cross multiply
    15,023.64x = 20,732.22 × 8,309.40
  4. Step 4: Simplify right side
    15,023.64x = 172,272,308.87
  5. Step 5: Solve for x
    x = 172,272,308.87/15,023.64
  6. Step 6: Final answer
    x = 11,466.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.