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Finding the Fourth Proportional to 8,047.40, 12,068.14 and 2,781.08

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Solution

The fourth proportional to 8,047.40, 12,068.14 and 2,781.08 is: 4,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.40 : 12,068.14 = 2,781.08 : x
  2. Step 2: Convert to fraction form
    8,047.40/12,068.14 = 2,781.08/x
  3. Step 3: Cross multiply
    8,047.40x = 12,068.14 × 2,781.08
  4. Step 4: Simplify right side
    8,047.40x = 33,562,462.79
  5. Step 5: Solve for x
    x = 33,562,462.79/8,047.40
  6. Step 6: Final answer
    x = 4,170.60

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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.