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Finding the Fourth Proportional to 8,442, 12,661.68 and 2,894.06

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Solution

The fourth proportional to 8,442, 12,661.68 and 2,894.06 is: 4,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442 : 12,661.68 = 2,894.06 : x
  2. Step 2: Convert to fraction form
    8,442/12,661.68 = 2,894.06/x
  3. Step 3: Cross multiply
    8,442x = 12,661.68 × 2,894.06
  4. Step 4: Simplify right side
    8,442x = 36,643,661.62
  5. Step 5: Solve for x
    x = 36,643,661.62/8,442
  6. Step 6: Final answer
    x = 4,340.64

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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.