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Finding the Fourth Proportional to 2,114.05, 3,171.47 and 652.86

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Solution

The fourth proportional to 2,114.05, 3,171.47 and 652.86 is: 979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.05 : 3,171.47 = 652.86 : x
  2. Step 2: Convert to fraction form
    2,114.05/3,171.47 = 652.86/x
  3. Step 3: Cross multiply
    2,114.05x = 3,171.47 × 652.86
  4. Step 4: Simplify right side
    2,114.05x = 2,070,506.78
  5. Step 5: Solve for x
    x = 2,070,506.78/2,114.05
  6. Step 6: Final answer
    x = 979.41

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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.