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Finding the Fourth Proportional to 8,017.75, 12,016.13 and 4,312

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Solution

The fourth proportional to 8,017.75, 12,016.13 and 4,312 is: 6,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.75 : 12,016.13 = 4,312 : x
  2. Step 2: Convert to fraction form
    8,017.75/12,016.13 = 4,312/x
  3. Step 3: Cross multiply
    8,017.75x = 12,016.13 × 4,312
  4. Step 4: Simplify right side
    8,017.75x = 51,813,552.56
  5. Step 5: Solve for x
    x = 51,813,552.56/8,017.75
  6. Step 6: Final answer
    x = 6,462.36

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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.