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Finding the Fourth Proportional to 5,244.57, 7,864.97 and 1,781.01

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Solution

The fourth proportional to 5,244.57, 7,864.97 and 1,781.01 is: 2,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.57 : 7,864.97 = 1,781.01 : x
  2. Step 2: Convert to fraction form
    5,244.57/7,864.97 = 1,781.01/x
  3. Step 3: Cross multiply
    5,244.57x = 7,864.97 × 1,781.01
  4. Step 4: Simplify right side
    5,244.57x = 14,007,581.31
  5. Step 5: Solve for x
    x = 14,007,581.31/5,244.57
  6. Step 6: Final answer
    x = 2,670.87

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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.