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Finding the Fourth Proportional to 7,178.31, 10,767.20 and 1,913.31

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Solution

The fourth proportional to 7,178.31, 10,767.20 and 1,913.31 is: 2,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.31 : 10,767.20 = 1,913.31 : x
  2. Step 2: Convert to fraction form
    7,178.31/10,767.20 = 1,913.31/x
  3. Step 3: Cross multiply
    7,178.31x = 10,767.20 × 1,913.31
  4. Step 4: Simplify right side
    7,178.31x = 20,600,981.87
  5. Step 5: Solve for x
    x = 20,600,981.87/7,178.31
  6. Step 6: Final answer
    x = 2,869.89

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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.