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Finding the Fourth Proportional to 7,253.84, 9,945.10 and 7,122.62

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Solution

The fourth proportional to 7,253.84, 9,945.10 and 7,122.62 is: 9,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.84 : 9,945.10 = 7,122.62 : x
  2. Step 2: Convert to fraction form
    7,253.84/9,945.10 = 7,122.62/x
  3. Step 3: Cross multiply
    7,253.84x = 9,945.10 × 7,122.62
  4. Step 4: Simplify right side
    7,253.84x = 70,835,148.67
  5. Step 5: Solve for x
    x = 70,835,148.67/7,253.84
  6. Step 6: Final answer
    x = 9,765.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.