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Finding the Fourth Proportional to 12,474.40, 18,711.60 and 5,913.40

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Solution

The fourth proportional to 12,474.40, 18,711.60 and 5,913.40 is: 8,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.40 : 18,711.60 = 5,913.40 : x
  2. Step 2: Convert to fraction form
    12,474.40/18,711.60 = 5,913.40/x
  3. Step 3: Cross multiply
    12,474.40x = 18,711.60 × 5,913.40
  4. Step 4: Simplify right side
    12,474.40x = 110,649,175.44
  5. Step 5: Solve for x
    x = 110,649,175.44/12,474.40
  6. Step 6: Final answer
    x = 8,870.10

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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.