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Finding the Fourth Proportional to 1,317.61, 1,978.04 and 1,249.57

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Solution

The fourth proportional to 1,317.61, 1,978.04 and 1,249.57 is: 1,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.61 : 1,978.04 = 1,249.57 : x
  2. Step 2: Convert to fraction form
    1,317.61/1,978.04 = 1,249.57/x
  3. Step 3: Cross multiply
    1,317.61x = 1,978.04 × 1,249.57
  4. Step 4: Simplify right side
    1,317.61x = 2,471,699.44
  5. Step 5: Solve for x
    x = 2,471,699.44/1,317.61
  6. Step 6: Final answer
    x = 1,875.90

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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.