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Finding the Fourth Proportional to 7,811.64, 10,781.10 and 5,025.24

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Solution

The fourth proportional to 7,811.64, 10,781.10 and 5,025.24 is: 6,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.64 : 10,781.10 = 5,025.24 : x
  2. Step 2: Convert to fraction form
    7,811.64/10,781.10 = 5,025.24/x
  3. Step 3: Cross multiply
    7,811.64x = 10,781.10 × 5,025.24
  4. Step 4: Simplify right side
    7,811.64x = 54,177,614.96
  5. Step 5: Solve for x
    x = 54,177,614.96/7,811.64
  6. Step 6: Final answer
    x = 6,935.50

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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.