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Finding the Fourth Proportional to 8,411.12, 12,517.40 and 8,130.83

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Solution

The fourth proportional to 8,411.12, 12,517.40 and 8,130.83 is: 12,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.12 : 12,517.40 = 8,130.83 : x
  2. Step 2: Convert to fraction form
    8,411.12/12,517.40 = 8,130.83/x
  3. Step 3: Cross multiply
    8,411.12x = 12,517.40 × 8,130.83
  4. Step 4: Simplify right side
    8,411.12x = 101,776,879.59
  5. Step 5: Solve for x
    x = 101,776,879.59/8,411.12
  6. Step 6: Final answer
    x = 12,100.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.