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Finding the Fourth Proportional to 1,865, 2,781.02 and 1,731.08

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Solution

The fourth proportional to 1,865, 2,781.02 and 1,731.08 is: 2,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865 : 2,781.02 = 1,731.08 : x
  2. Step 2: Convert to fraction form
    1,865/2,781.02 = 1,731.08/x
  3. Step 3: Cross multiply
    1,865x = 2,781.02 × 1,731.08
  4. Step 4: Simplify right side
    1,865x = 4,814,168.10
  5. Step 5: Solve for x
    x = 4,814,168.10/1,865
  6. Step 6: Final answer
    x = 2,581.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.