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Finding the Fourth Proportional to 9,714.88, 13,383.12 and 7,724.80

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Solution

The fourth proportional to 9,714.88, 13,383.12 and 7,724.80 is: 10,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.88 : 13,383.12 = 7,724.80 : x
  2. Step 2: Convert to fraction form
    9,714.88/13,383.12 = 7,724.80/x
  3. Step 3: Cross multiply
    9,714.88x = 13,383.12 × 7,724.80
  4. Step 4: Simplify right side
    9,714.88x = 103,381,925.38
  5. Step 5: Solve for x
    x = 103,381,925.38/9,714.88
  6. Step 6: Final answer
    x = 10,641.61

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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.