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Finding the Fourth Proportional to 4,757.76, 7,135.13 and 1,983.71

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Solution

The fourth proportional to 4,757.76, 7,135.13 and 1,983.71 is: 2,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.76 : 7,135.13 = 1,983.71 : x
  2. Step 2: Convert to fraction form
    4,757.76/7,135.13 = 1,983.71/x
  3. Step 3: Cross multiply
    4,757.76x = 7,135.13 × 1,983.71
  4. Step 4: Simplify right side
    4,757.76x = 14,154,051.53
  5. Step 5: Solve for x
    x = 14,154,051.53/4,757.76
  6. Step 6: Final answer
    x = 2,974.94

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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.