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Finding the Fourth Proportional to 5,762.64, 8,646.24 and 2,640.40

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Solution

The fourth proportional to 5,762.64, 8,646.24 and 2,640.40 is: 3,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.64 : 8,646.24 = 2,640.40 : x
  2. Step 2: Convert to fraction form
    5,762.64/8,646.24 = 2,640.40/x
  3. Step 3: Cross multiply
    5,762.64x = 8,646.24 × 2,640.40
  4. Step 4: Simplify right side
    5,762.64x = 22,829,520.38
  5. Step 5: Solve for x
    x = 22,829,520.38/5,762.64
  6. Step 6: Final answer
    x = 3,961.64

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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.