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Finding the Fourth Proportional to 1,753.78, 2,420.62 and 1,091.14

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Solution

The fourth proportional to 1,753.78, 2,420.62 and 1,091.14 is: 1,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.78 : 2,420.62 = 1,091.14 : x
  2. Step 2: Convert to fraction form
    1,753.78/2,420.62 = 1,091.14/x
  3. Step 3: Cross multiply
    1,753.78x = 2,420.62 × 1,091.14
  4. Step 4: Simplify right side
    1,753.78x = 2,641,235.31
  5. Step 5: Solve for x
    x = 2,641,235.31/1,753.78
  6. Step 6: Final answer
    x = 1,506.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.