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Finding the Fourth Proportional to 2,109.12, 3,163.40 and 648.15

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Solution

The fourth proportional to 2,109.12, 3,163.40 and 648.15 is: 972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.12 : 3,163.40 = 648.15 : x
  2. Step 2: Convert to fraction form
    2,109.12/3,163.40 = 648.15/x
  3. Step 3: Cross multiply
    2,109.12x = 3,163.40 × 648.15
  4. Step 4: Simplify right side
    2,109.12x = 2,050,354.47
  5. Step 5: Solve for x
    x = 2,050,354.47/2,109.12
  6. Step 6: Final answer
    x = 972.14

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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.