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Finding the Fourth Proportional to 9,231.52, 13,780.16 and 8,124.48

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Solution

The fourth proportional to 9,231.52, 13,780.16 and 8,124.48 is: 12,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.52 : 13,780.16 = 8,124.48 : x
  2. Step 2: Convert to fraction form
    9,231.52/13,780.16 = 8,124.48/x
  3. Step 3: Cross multiply
    9,231.52x = 13,780.16 × 8,124.48
  4. Step 4: Simplify right side
    9,231.52x = 111,956,634.32
  5. Step 5: Solve for x
    x = 111,956,634.32/9,231.52
  6. Step 6: Final answer
    x = 12,127.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.