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Finding the Fourth Proportional to 2,530.88, 3,798.06 and 887.42

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Solution

The fourth proportional to 2,530.88, 3,798.06 and 887.42 is: 1,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.88 : 3,798.06 = 887.42 : x
  2. Step 2: Convert to fraction form
    2,530.88/3,798.06 = 887.42/x
  3. Step 3: Cross multiply
    2,530.88x = 3,798.06 × 887.42
  4. Step 4: Simplify right side
    2,530.88x = 3,370,480.57
  5. Step 5: Solve for x
    x = 3,370,480.57/2,530.88
  6. Step 6: Final answer
    x = 1,331.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.