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Finding the Fourth Proportional to 8,315.64, 12,474.13 and 2,472.25

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Solution

The fourth proportional to 8,315.64, 12,474.13 and 2,472.25 is: 3,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.64 : 12,474.13 = 2,472.25 : x
  2. Step 2: Convert to fraction form
    8,315.64/12,474.13 = 2,472.25/x
  3. Step 3: Cross multiply
    8,315.64x = 12,474.13 × 2,472.25
  4. Step 4: Simplify right side
    8,315.64x = 30,839,161.71
  5. Step 5: Solve for x
    x = 30,839,161.71/8,315.64
  6. Step 6: Final answer
    x = 3,708.58

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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.