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Finding the Fourth Proportional to 8,981.10, 13,471.68 and 3,137.71

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Solution

The fourth proportional to 8,981.10, 13,471.68 and 3,137.71 is: 4,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.10 : 13,471.68 = 3,137.71 : x
  2. Step 2: Convert to fraction form
    8,981.10/13,471.68 = 3,137.71/x
  3. Step 3: Cross multiply
    8,981.10x = 13,471.68 × 3,137.71
  4. Step 4: Simplify right side
    8,981.10x = 42,270,225.05
  5. Step 5: Solve for x
    x = 42,270,225.05/8,981.10
  6. Step 6: Final answer
    x = 4,706.58

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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.