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Finding the Fourth Proportional to 2,291.13, 3,434.87 and 991.69

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Solution

The fourth proportional to 2,291.13, 3,434.87 and 991.69 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.13 : 3,434.87 = 991.69 : x
  2. Step 2: Convert to fraction form
    2,291.13/3,434.87 = 991.69/x
  3. Step 3: Cross multiply
    2,291.13x = 3,434.87 × 991.69
  4. Step 4: Simplify right side
    2,291.13x = 3,406,320.12
  5. Step 5: Solve for x
    x = 3,406,320.12/2,291.13
  6. Step 6: Final answer
    x = 1,486.74

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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.