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Finding the Fourth Proportional to 7,712.56, 11,508.30 and 7,242.40

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Solution

The fourth proportional to 7,712.56, 11,508.30 and 7,242.40 is: 10,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.56 : 11,508.30 = 7,242.40 : x
  2. Step 2: Convert to fraction form
    7,712.56/11,508.30 = 7,242.40/x
  3. Step 3: Cross multiply
    7,712.56x = 11,508.30 × 7,242.40
  4. Step 4: Simplify right side
    7,712.56x = 83,347,711.92
  5. Step 5: Solve for x
    x = 83,347,711.92/7,712.56
  6. Step 6: Final answer
    x = 10,806.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.