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Finding the Fourth Proportional to 7,292.63, 10,938.90 and 3,129.93

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Solution

The fourth proportional to 7,292.63, 10,938.90 and 3,129.93 is: 4,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.63 : 10,938.90 = 3,129.93 : x
  2. Step 2: Convert to fraction form
    7,292.63/10,938.90 = 3,129.93/x
  3. Step 3: Cross multiply
    7,292.63x = 10,938.90 × 3,129.93
  4. Step 4: Simplify right side
    7,292.63x = 34,237,991.28
  5. Step 5: Solve for x
    x = 34,237,991.28/7,292.63
  6. Step 6: Final answer
    x = 4,694.88

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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.