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Finding the Fourth Proportional to 5,640, 8,454.24 and 2,354.88

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Solution

The fourth proportional to 5,640, 8,454.24 and 2,354.88 is: 3,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 8,454.24 = 2,354.88 : x
  2. Step 2: Convert to fraction form
    5,640/8,454.24 = 2,354.88/x
  3. Step 3: Cross multiply
    5,640x = 8,454.24 × 2,354.88
  4. Step 4: Simplify right side
    5,640x = 19,908,720.69
  5. Step 5: Solve for x
    x = 19,908,720.69/5,640
  6. Step 6: Final answer
    x = 3,529.92

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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.