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Finding the Fourth Proportional to 2,817.60, 4,226.32 and 869.68

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Solution

The fourth proportional to 2,817.60, 4,226.32 and 869.68 is: 1,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.60 : 4,226.32 = 869.68 : x
  2. Step 2: Convert to fraction form
    2,817.60/4,226.32 = 869.68/x
  3. Step 3: Cross multiply
    2,817.60x = 4,226.32 × 869.68
  4. Step 4: Simplify right side
    2,817.60x = 3,675,545.98
  5. Step 5: Solve for x
    x = 3,675,545.98/2,817.60
  6. Step 6: Final answer
    x = 1,304.50

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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.