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Finding the Fourth Proportional to 8,471.98, 12,707.97 and 3,543.94

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Solution

The fourth proportional to 8,471.98, 12,707.97 and 3,543.94 is: 5,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.98 : 12,707.97 = 3,543.94 : x
  2. Step 2: Convert to fraction form
    8,471.98/12,707.97 = 3,543.94/x
  3. Step 3: Cross multiply
    8,471.98x = 12,707.97 × 3,543.94
  4. Step 4: Simplify right side
    8,471.98x = 45,036,283.20
  5. Step 5: Solve for x
    x = 45,036,283.20/8,471.98
  6. Step 6: Final answer
    x = 5,315.91

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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.