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Finding the Fourth Proportional to 2,801, 4,202.19 and 1,158.02

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Solution

The fourth proportional to 2,801, 4,202.19 and 1,158.02 is: 1,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801 : 4,202.19 = 1,158.02 : x
  2. Step 2: Convert to fraction form
    2,801/4,202.19 = 1,158.02/x
  3. Step 3: Cross multiply
    2,801x = 4,202.19 × 1,158.02
  4. Step 4: Simplify right side
    2,801x = 4,866,220.06
  5. Step 5: Solve for x
    x = 4,866,220.06/2,801
  6. Step 6: Final answer
    x = 1,737.32

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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.