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Finding the Fourth Proportional to 10,980, 16,470 and 5,140.71

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Solution

The fourth proportional to 10,980, 16,470 and 5,140.71 is: 7,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980 : 16,470 = 5,140.71 : x
  2. Step 2: Convert to fraction form
    10,980/16,470 = 5,140.71/x
  3. Step 3: Cross multiply
    10,980x = 16,470 × 5,140.71
  4. Step 4: Simplify right side
    10,980x = 84,667,493.70
  5. Step 5: Solve for x
    x = 84,667,493.70/10,980
  6. Step 6: Final answer
    x = 7,711.07

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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.