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Finding the Fourth Proportional to 5,722.80, 8,569.80 and 3,764.40

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Solution

The fourth proportional to 5,722.80, 8,569.80 and 3,764.40 is: 5,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.80 : 8,569.80 = 3,764.40 : x
  2. Step 2: Convert to fraction form
    5,722.80/8,569.80 = 3,764.40/x
  3. Step 3: Cross multiply
    5,722.80x = 8,569.80 × 3,764.40
  4. Step 4: Simplify right side
    5,722.80x = 32,260,155.12
  5. Step 5: Solve for x
    x = 32,260,155.12/5,722.80
  6. Step 6: Final answer
    x = 5,637.13

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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.