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Finding the Fourth Proportional to 7,129.65, 10,688.70 and 2,972.78

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Solution

The fourth proportional to 7,129.65, 10,688.70 and 2,972.78 is: 4,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.65 : 10,688.70 = 2,972.78 : x
  2. Step 2: Convert to fraction form
    7,129.65/10,688.70 = 2,972.78/x
  3. Step 3: Cross multiply
    7,129.65x = 10,688.70 × 2,972.78
  4. Step 4: Simplify right side
    7,129.65x = 31,775,100.14
  5. Step 5: Solve for x
    x = 31,775,100.14/7,129.65
  6. Step 6: Final answer
    x = 4,456.75

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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.