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Finding the Fourth Proportional to 2,862.88, 4,290 and 1,130.56

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Solution

The fourth proportional to 2,862.88, 4,290 and 1,130.56 is: 1,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.88 : 4,290 = 1,130.56 : x
  2. Step 2: Convert to fraction form
    2,862.88/4,290 = 1,130.56/x
  3. Step 3: Cross multiply
    2,862.88x = 4,290 × 1,130.56
  4. Step 4: Simplify right side
    2,862.88x = 4,850,102.40
  5. Step 5: Solve for x
    x = 4,850,102.40/2,862.88
  6. Step 6: Final answer
    x = 1,694.13

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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.