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Finding the Fourth Proportional to 2,985.41, 4,478.12 and 1,252.82

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Solution

The fourth proportional to 2,985.41, 4,478.12 and 1,252.82 is: 1,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.41 : 4,478.12 = 1,252.82 : x
  2. Step 2: Convert to fraction form
    2,985.41/4,478.12 = 1,252.82/x
  3. Step 3: Cross multiply
    2,985.41x = 4,478.12 × 1,252.82
  4. Step 4: Simplify right side
    2,985.41x = 5,610,278.30
  5. Step 5: Solve for x
    x = 5,610,278.30/2,985.41
  6. Step 6: Final answer
    x = 1,879.23

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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.