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Finding the Fourth Proportional to 5,257.66, 7,255.65 and 2,899.80

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Solution

The fourth proportional to 5,257.66, 7,255.65 and 2,899.80 is: 4,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.66 : 7,255.65 = 2,899.80 : x
  2. Step 2: Convert to fraction form
    5,257.66/7,255.65 = 2,899.80/x
  3. Step 3: Cross multiply
    5,257.66x = 7,255.65 × 2,899.80
  4. Step 4: Simplify right side
    5,257.66x = 21,039,933.87
  5. Step 5: Solve for x
    x = 21,039,933.87/5,257.66
  6. Step 6: Final answer
    x = 4,001.77

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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.