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Finding the Fourth Proportional to 7,652.76, 11,402.22 and 7,149.84

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Solution

The fourth proportional to 7,652.76, 11,402.22 and 7,149.84 is: 10,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.76 : 11,402.22 = 7,149.84 : x
  2. Step 2: Convert to fraction form
    7,652.76/11,402.22 = 7,149.84/x
  3. Step 3: Cross multiply
    7,652.76x = 11,402.22 × 7,149.84
  4. Step 4: Simplify right side
    7,652.76x = 81,524,048.64
  5. Step 5: Solve for x
    x = 81,524,048.64/7,652.76
  6. Step 6: Final answer
    x = 10,652.89

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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.