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Finding the Fourth Proportional to 5,257.76, 7,256.04 and 2,899.90

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Solution

The fourth proportional to 5,257.76, 7,256.04 and 2,899.90 is: 4,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.76 : 7,256.04 = 2,899.90 : x
  2. Step 2: Convert to fraction form
    5,257.76/7,256.04 = 2,899.90/x
  3. Step 3: Cross multiply
    5,257.76x = 7,256.04 × 2,899.90
  4. Step 4: Simplify right side
    5,257.76x = 21,041,790.40
  5. Step 5: Solve for x
    x = 21,041,790.40/5,257.76
  6. Step 6: Final answer
    x = 4,002.04

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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.