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Finding the Fourth Proportional to 15,023.66, 20,732.42 and 8,309.12

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Solution

The fourth proportional to 15,023.66, 20,732.42 and 8,309.12 is: 11,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.66 : 20,732.42 = 8,309.12 : x
  2. Step 2: Convert to fraction form
    15,023.66/20,732.42 = 8,309.12/x
  3. Step 3: Cross multiply
    15,023.66x = 20,732.42 × 8,309.12
  4. Step 4: Simplify right side
    15,023.66x = 172,268,165.67
  5. Step 5: Solve for x
    x = 172,268,165.67/15,023.66
  6. Step 6: Final answer
    x = 11,466.46

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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.