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Finding the Fourth Proportional to 1,402.02, 1,936.65 and 983.76

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Solution

The fourth proportional to 1,402.02, 1,936.65 and 983.76 is: 1,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.02 : 1,936.65 = 983.76 : x
  2. Step 2: Convert to fraction form
    1,402.02/1,936.65 = 983.76/x
  3. Step 3: Cross multiply
    1,402.02x = 1,936.65 × 983.76
  4. Step 4: Simplify right side
    1,402.02x = 1,905,198.80
  5. Step 5: Solve for x
    x = 1,905,198.80/1,402.02
  6. Step 6: Final answer
    x = 1,358.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.