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Finding the Fourth Proportional to 2,097.79, 3,145.93 and 781.24

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Solution

The fourth proportional to 2,097.79, 3,145.93 and 781.24 is: 1,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.79 : 3,145.93 = 781.24 : x
  2. Step 2: Convert to fraction form
    2,097.79/3,145.93 = 781.24/x
  3. Step 3: Cross multiply
    2,097.79x = 3,145.93 × 781.24
  4. Step 4: Simplify right side
    2,097.79x = 2,457,726.35
  5. Step 5: Solve for x
    x = 2,457,726.35/2,097.79
  6. Step 6: Final answer
    x = 1,171.58

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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.