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Finding the Fourth Proportional to 4,859.66, 7,283.72 and 2,781.10

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Solution

The fourth proportional to 4,859.66, 7,283.72 and 2,781.10 is: 4,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.66 : 7,283.72 = 2,781.10 : x
  2. Step 2: Convert to fraction form
    4,859.66/7,283.72 = 2,781.10/x
  3. Step 3: Cross multiply
    4,859.66x = 7,283.72 × 2,781.10
  4. Step 4: Simplify right side
    4,859.66x = 20,256,769.75
  5. Step 5: Solve for x
    x = 20,256,769.75/4,859.66
  6. Step 6: Final answer
    x = 4,168.35

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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.