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Finding the Fourth Proportional to 7,615.86, 10,491.80 and 7,240.65

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Solution

The fourth proportional to 7,615.86, 10,491.80 and 7,240.65 is: 9,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.86 : 10,491.80 = 7,240.65 : x
  2. Step 2: Convert to fraction form
    7,615.86/10,491.80 = 7,240.65/x
  3. Step 3: Cross multiply
    7,615.86x = 10,491.80 × 7,240.65
  4. Step 4: Simplify right side
    7,615.86x = 75,967,451.67
  5. Step 5: Solve for x
    x = 75,967,451.67/7,615.86
  6. Step 6: Final answer
    x = 9,974.90

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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.