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Finding the Fourth Proportional to 5,874.08, 8,811.16 and 1,978.47

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Solution

The fourth proportional to 5,874.08, 8,811.16 and 1,978.47 is: 2,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.08 : 8,811.16 = 1,978.47 : x
  2. Step 2: Convert to fraction form
    5,874.08/8,811.16 = 1,978.47/x
  3. Step 3: Cross multiply
    5,874.08x = 8,811.16 × 1,978.47
  4. Step 4: Simplify right side
    5,874.08x = 17,432,610.78
  5. Step 5: Solve for x
    x = 17,432,610.78/5,874.08
  6. Step 6: Final answer
    x = 2,967.72

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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.