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Finding the Fourth Proportional to 8,471.88, 12,707.64 and 2,315.88

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Solution

The fourth proportional to 8,471.88, 12,707.64 and 2,315.88 is: 3,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.88 : 12,707.64 = 2,315.88 : x
  2. Step 2: Convert to fraction form
    8,471.88/12,707.64 = 2,315.88/x
  3. Step 3: Cross multiply
    8,471.88x = 12,707.64 × 2,315.88
  4. Step 4: Simplify right side
    8,471.88x = 29,429,369.32
  5. Step 5: Solve for x
    x = 29,429,369.32/8,471.88
  6. Step 6: Final answer
    x = 3,473.77

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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.