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Finding the Fourth Proportional to 13,913.18, 20,880.11 and 8,655.83

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Solution

The fourth proportional to 13,913.18, 20,880.11 and 8,655.83 is: 12,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.18 : 20,880.11 = 8,655.83 : x
  2. Step 2: Convert to fraction form
    13,913.18/20,880.11 = 8,655.83/x
  3. Step 3: Cross multiply
    13,913.18x = 20,880.11 × 8,655.83
  4. Step 4: Simplify right side
    13,913.18x = 180,734,534.86
  5. Step 5: Solve for x
    x = 180,734,534.86/13,913.18
  6. Step 6: Final answer
    x = 12,990.17

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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.