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Finding the Fourth Proportional to 11,433.12, 15,807.12 and 8,789.28

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Solution

The fourth proportional to 11,433.12, 15,807.12 and 8,789.28 is: 12,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.12 : 15,807.12 = 8,789.28 : x
  2. Step 2: Convert to fraction form
    11,433.12/15,807.12 = 8,789.28/x
  3. Step 3: Cross multiply
    11,433.12x = 15,807.12 × 8,789.28
  4. Step 4: Simplify right side
    11,433.12x = 138,933,203.67
  5. Step 5: Solve for x
    x = 138,933,203.67/11,433.12
  6. Step 6: Final answer
    x = 12,151.82

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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.