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Finding the Fourth Proportional to 7,139.79, 10,713.51 and 2,982.60

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Solution

The fourth proportional to 7,139.79, 10,713.51 and 2,982.60 is: 4,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.79 : 10,713.51 = 2,982.60 : x
  2. Step 2: Convert to fraction form
    7,139.79/10,713.51 = 2,982.60/x
  3. Step 3: Cross multiply
    7,139.79x = 10,713.51 × 2,982.60
  4. Step 4: Simplify right side
    7,139.79x = 31,954,114.93
  5. Step 5: Solve for x
    x = 31,954,114.93/7,139.79
  6. Step 6: Final answer
    x = 4,475.50

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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.