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Finding the Fourth Proportional to 8,115.84, 12,174.98 and 2,920.50

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Solution

The fourth proportional to 8,115.84, 12,174.98 and 2,920.50 is: 4,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.84 : 12,174.98 = 2,920.50 : x
  2. Step 2: Convert to fraction form
    8,115.84/12,174.98 = 2,920.50/x
  3. Step 3: Cross multiply
    8,115.84x = 12,174.98 × 2,920.50
  4. Step 4: Simplify right side
    8,115.84x = 35,557,014.49
  5. Step 5: Solve for x
    x = 35,557,014.49/8,115.84
  6. Step 6: Final answer
    x = 4,381.19

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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.