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Finding the Fourth Proportional to 5,255.64, 7,252.74 and 2,897.70

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Solution

The fourth proportional to 5,255.64, 7,252.74 and 2,897.70 is: 3,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.64 : 7,252.74 = 2,897.70 : x
  2. Step 2: Convert to fraction form
    5,255.64/7,252.74 = 2,897.70/x
  3. Step 3: Cross multiply
    5,255.64x = 7,252.74 × 2,897.70
  4. Step 4: Simplify right side
    5,255.64x = 21,016,264.70
  5. Step 5: Solve for x
    x = 21,016,264.70/5,255.64
  6. Step 6: Final answer
    x = 3,998.80

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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.