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Finding the Fourth Proportional to 8,351.48, 11,520.96 and 7,024.70

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Solution

The fourth proportional to 8,351.48, 11,520.96 and 7,024.70 is: 9,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.48 : 11,520.96 = 7,024.70 : x
  2. Step 2: Convert to fraction form
    8,351.48/11,520.96 = 7,024.70/x
  3. Step 3: Cross multiply
    8,351.48x = 11,520.96 × 7,024.70
  4. Step 4: Simplify right side
    8,351.48x = 80,931,287.71
  5. Step 5: Solve for x
    x = 80,931,287.71/8,351.48
  6. Step 6: Final answer
    x = 9,690.65

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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.