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Finding the Fourth Proportional to 7,132.56, 9,829.64 and 5,139.76

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Solution

The fourth proportional to 7,132.56, 9,829.64 and 5,139.76 is: 7,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.56 : 9,829.64 = 5,139.76 : x
  2. Step 2: Convert to fraction form
    7,132.56/9,829.64 = 5,139.76/x
  3. Step 3: Cross multiply
    7,132.56x = 9,829.64 × 5,139.76
  4. Step 4: Simplify right side
    7,132.56x = 50,521,990.49
  5. Step 5: Solve for x
    x = 50,521,990.49/7,132.56
  6. Step 6: Final answer
    x = 7,083.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.