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Finding the Fourth Proportional to 5,876.55, 8,811.81 and 1,978.11

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Solution

The fourth proportional to 5,876.55, 8,811.81 and 1,978.11 is: 2,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.55 : 8,811.81 = 1,978.11 : x
  2. Step 2: Convert to fraction form
    5,876.55/8,811.81 = 1,978.11/x
  3. Step 3: Cross multiply
    5,876.55x = 8,811.81 × 1,978.11
  4. Step 4: Simplify right side
    5,876.55x = 17,430,729.48
  5. Step 5: Solve for x
    x = 17,430,729.48/5,876.55
  6. Step 6: Final answer
    x = 2,966.15

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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.