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Finding the Fourth Proportional to 2,116.68, 3,174.66 and 577.68

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Solution

The fourth proportional to 2,116.68, 3,174.66 and 577.68 is: 866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.68 : 3,174.66 = 577.68 : x
  2. Step 2: Convert to fraction form
    2,116.68/3,174.66 = 577.68/x
  3. Step 3: Cross multiply
    2,116.68x = 3,174.66 × 577.68
  4. Step 4: Simplify right side
    2,116.68x = 1,833,937.59
  5. Step 5: Solve for x
    x = 1,833,937.59/2,116.68
  6. Step 6: Final answer
    x = 866.42

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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.