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Finding the Fourth Proportional to 2,877.88, 4,315.75 and 1,028.50

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Solution

The fourth proportional to 2,877.88, 4,315.75 and 1,028.50 is: 1,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.88 : 4,315.75 = 1,028.50 : x
  2. Step 2: Convert to fraction form
    2,877.88/4,315.75 = 1,028.50/x
  3. Step 3: Cross multiply
    2,877.88x = 4,315.75 × 1,028.50
  4. Step 4: Simplify right side
    2,877.88x = 4,438,748.88
  5. Step 5: Solve for x
    x = 4,438,748.88/2,877.88
  6. Step 6: Final answer
    x = 1,542.37

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1.5x scale

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.