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Finding the Fourth Proportional to 5,242.56, 7,863.90 and 1,780.08

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Solution

The fourth proportional to 5,242.56, 7,863.90 and 1,780.08 is: 2,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.56 : 7,863.90 = 1,780.08 : x
  2. Step 2: Convert to fraction form
    5,242.56/7,863.90 = 1,780.08/x
  3. Step 3: Cross multiply
    5,242.56x = 7,863.90 × 1,780.08
  4. Step 4: Simplify right side
    5,242.56x = 13,998,371.11
  5. Step 5: Solve for x
    x = 13,998,371.11/5,242.56
  6. Step 6: Final answer
    x = 2,670.14

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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.