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Finding the Fourth Proportional to 5,257.88, 7,256.02 and 2,900.20

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Solution

The fourth proportional to 5,257.88, 7,256.02 and 2,900.20 is: 4,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.88 : 7,256.02 = 2,900.20 : x
  2. Step 2: Convert to fraction form
    5,257.88/7,256.02 = 2,900.20/x
  3. Step 3: Cross multiply
    5,257.88x = 7,256.02 × 2,900.20
  4. Step 4: Simplify right side
    5,257.88x = 21,043,909.20
  5. Step 5: Solve for x
    x = 21,043,909.20/5,257.88
  6. Step 6: Final answer
    x = 4,002.36

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1.5x scale

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.