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Finding the Fourth Proportional to 2,113.83, 3,171.11 and 652.95

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Solution

The fourth proportional to 2,113.83, 3,171.11 and 652.95 is: 979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.83 : 3,171.11 = 652.95 : x
  2. Step 2: Convert to fraction form
    2,113.83/3,171.11 = 652.95/x
  3. Step 3: Cross multiply
    2,113.83x = 3,171.11 × 652.95
  4. Step 4: Simplify right side
    2,113.83x = 2,070,573.01
  5. Step 5: Solve for x
    x = 2,070,573.01/2,113.83
  6. Step 6: Final answer
    x = 979.54

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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.