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Finding the Fourth Proportional to 2,102.39, 3,153.77 and 542.38

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Solution

The fourth proportional to 2,102.39, 3,153.77 and 542.38 is: 813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.39 : 3,153.77 = 542.38 : x
  2. Step 2: Convert to fraction form
    2,102.39/3,153.77 = 542.38/x
  3. Step 3: Cross multiply
    2,102.39x = 3,153.77 × 542.38
  4. Step 4: Simplify right side
    2,102.39x = 1,710,539.06
  5. Step 5: Solve for x
    x = 1,710,539.06/2,102.39
  6. Step 6: Final answer
    x = 813.62

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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.