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Finding the Fourth Proportional to 8,660.12, 12,987 and 3,111.98

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Solution

The fourth proportional to 8,660.12, 12,987 and 3,111.98 is: 4,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.12 : 12,987 = 3,111.98 : x
  2. Step 2: Convert to fraction form
    8,660.12/12,987 = 3,111.98/x
  3. Step 3: Cross multiply
    8,660.12x = 12,987 × 3,111.98
  4. Step 4: Simplify right side
    8,660.12x = 40,415,284.26
  5. Step 5: Solve for x
    x = 40,415,284.26/8,660.12
  6. Step 6: Final answer
    x = 4,666.83

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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.