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Finding the Fourth Proportional to 9,862.76, 14,786.85 and 3,619.49

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Solution

The fourth proportional to 9,862.76, 14,786.85 and 3,619.49 is: 5,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.76 : 14,786.85 = 3,619.49 : x
  2. Step 2: Convert to fraction form
    9,862.76/14,786.85 = 3,619.49/x
  3. Step 3: Cross multiply
    9,862.76x = 14,786.85 × 3,619.49
  4. Step 4: Simplify right side
    9,862.76x = 53,520,781.77
  5. Step 5: Solve for x
    x = 53,520,781.77/9,862.76
  6. Step 6: Final answer
    x = 5,426.55

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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.