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Finding the Fourth Proportional to 2,368.70, 3,553.10 and 981.71

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Solution

The fourth proportional to 2,368.70, 3,553.10 and 981.71 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.70 : 3,553.10 = 981.71 : x
  2. Step 2: Convert to fraction form
    2,368.70/3,553.10 = 981.71/x
  3. Step 3: Cross multiply
    2,368.70x = 3,553.10 × 981.71
  4. Step 4: Simplify right side
    2,368.70x = 3,488,091.13
  5. Step 5: Solve for x
    x = 3,488,091.13/2,368.70
  6. Step 6: Final answer
    x = 1,472.58

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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.