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Finding the Fourth Proportional to 8,510.13, 12,765.20 and 3,578.31

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Solution

The fourth proportional to 8,510.13, 12,765.20 and 3,578.31 is: 5,367.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.13 : 12,765.20 = 3,578.31 : x
  2. Step 2: Convert to fraction form
    8,510.13/12,765.20 = 3,578.31/x
  3. Step 3: Cross multiply
    8,510.13x = 12,765.20 × 3,578.31
  4. Step 4: Simplify right side
    8,510.13x = 45,677,824.92
  5. Step 5: Solve for x
    x = 45,677,824.92/8,510.13
  6. Step 6: Final answer
    x = 5,367.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.