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Finding the Fourth Proportional to 4,257, 5,875.22 and 2,489.80

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Solution

The fourth proportional to 4,257, 5,875.22 and 2,489.80 is: 3,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 5,875.22 = 2,489.80 : x
  2. Step 2: Convert to fraction form
    4,257/5,875.22 = 2,489.80/x
  3. Step 3: Cross multiply
    4,257x = 5,875.22 × 2,489.80
  4. Step 4: Simplify right side
    4,257x = 14,628,122.76
  5. Step 5: Solve for x
    x = 14,628,122.76/4,257
  6. Step 6: Final answer
    x = 3,436.25

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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.