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Finding the Fourth Proportional to 2,368.79, 3,553.02 and 981.77

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Solution

The fourth proportional to 2,368.79, 3,553.02 and 981.77 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.79 : 3,553.02 = 981.77 : x
  2. Step 2: Convert to fraction form
    2,368.79/3,553.02 = 981.77/x
  3. Step 3: Cross multiply
    2,368.79x = 3,553.02 × 981.77
  4. Step 4: Simplify right side
    2,368.79x = 3,488,230.68
  5. Step 5: Solve for x
    x = 3,488,230.68/2,368.79
  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.