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Finding the Fourth Proportional to 9,781.20, 14,664.96 and 7,832.88

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Solution

The fourth proportional to 9,781.20, 14,664.96 and 7,832.88 is: 11,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.20 : 14,664.96 = 7,832.88 : x
  2. Step 2: Convert to fraction form
    9,781.20/14,664.96 = 7,832.88/x
  3. Step 3: Cross multiply
    9,781.20x = 14,664.96 × 7,832.88
  4. Step 4: Simplify right side
    9,781.20x = 114,868,871.88
  5. Step 5: Solve for x
    x = 114,868,871.88/9,781.20
  6. Step 6: Final answer
    x = 11,743.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.