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Finding the Fourth Proportional to 7,610.40, 10,506.96 and 7,139.79

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Solution

The fourth proportional to 7,610.40, 10,506.96 and 7,139.79 is: 9,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.40 : 10,506.96 = 7,139.79 : x
  2. Step 2: Convert to fraction form
    7,610.40/10,506.96 = 7,139.79/x
  3. Step 3: Cross multiply
    7,610.40x = 10,506.96 × 7,139.79
  4. Step 4: Simplify right side
    7,610.40x = 75,017,487.94
  5. Step 5: Solve for x
    x = 75,017,487.94/7,610.40
  6. Step 6: Final answer
    x = 9,857.23

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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.