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Finding the Fourth Proportional to 2,285.70, 3,154.02 and 1,291.02

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Solution

The fourth proportional to 2,285.70, 3,154.02 and 1,291.02 is: 1,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.70 : 3,154.02 = 1,291.02 : x
  2. Step 2: Convert to fraction form
    2,285.70/3,154.02 = 1,291.02/x
  3. Step 3: Cross multiply
    2,285.70x = 3,154.02 × 1,291.02
  4. Step 4: Simplify right side
    2,285.70x = 4,071,902.90
  5. Step 5: Solve for x
    x = 4,071,902.90/2,285.70
  6. Step 6: Final answer
    x = 1,781.47

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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.