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Finding the Fourth Proportional to 8,471.69, 12,707.54 and 2,315.69

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Solution

The fourth proportional to 8,471.69, 12,707.54 and 2,315.69 is: 3,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.69 : 12,707.54 = 2,315.69 : x
  2. Step 2: Convert to fraction form
    8,471.69/12,707.54 = 2,315.69/x
  3. Step 3: Cross multiply
    8,471.69x = 12,707.54 × 2,315.69
  4. Step 4: Simplify right side
    8,471.69x = 29,426,711.72
  5. Step 5: Solve for x
    x = 29,426,711.72/8,471.69
  6. Step 6: Final answer
    x = 3,473.54

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Similar ratio
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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.