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Finding the Fourth Proportional to 8,343.24, 12,502.38 and 7,728.14

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Solution

The fourth proportional to 8,343.24, 12,502.38 and 7,728.14 is: 11,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.24 : 12,502.38 = 7,728.14 : x
  2. Step 2: Convert to fraction form
    8,343.24/12,502.38 = 7,728.14/x
  3. Step 3: Cross multiply
    8,343.24x = 12,502.38 × 7,728.14
  4. Step 4: Simplify right side
    8,343.24x = 96,620,080.46
  5. Step 5: Solve for x
    x = 96,620,080.46/8,343.24
  6. Step 6: Final answer
    x = 11,580.64

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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.