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Finding the Fourth Proportional to 2,625.01, 3,937.92 and 893.50

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Solution

The fourth proportional to 2,625.01, 3,937.92 and 893.50 is: 1,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.01 : 3,937.92 = 893.50 : x
  2. Step 2: Convert to fraction form
    2,625.01/3,937.92 = 893.50/x
  3. Step 3: Cross multiply
    2,625.01x = 3,937.92 × 893.50
  4. Step 4: Simplify right side
    2,625.01x = 3,518,531.52
  5. Step 5: Solve for x
    x = 3,518,531.52/2,625.01
  6. Step 6: Final answer
    x = 1,340.39

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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.