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Finding the Fourth Proportional to 2,626.80, 3,624.90 and 1,447.86

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Solution

The fourth proportional to 2,626.80, 3,624.90 and 1,447.86 is: 1,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.80 : 3,624.90 = 1,447.86 : x
  2. Step 2: Convert to fraction form
    2,626.80/3,624.90 = 1,447.86/x
  3. Step 3: Cross multiply
    2,626.80x = 3,624.90 × 1,447.86
  4. Step 4: Simplify right side
    2,626.80x = 5,248,347.71
  5. Step 5: Solve for x
    x = 5,248,347.71/2,626.80
  6. Step 6: Final answer
    x = 1,998.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.