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Finding the Fourth Proportional to 1,351.46, 1,866.67 and 977.85

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Solution

The fourth proportional to 1,351.46, 1,866.67 and 977.85 is: 1,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.46 : 1,866.67 = 977.85 : x
  2. Step 2: Convert to fraction form
    1,351.46/1,866.67 = 977.85/x
  3. Step 3: Cross multiply
    1,351.46x = 1,866.67 × 977.85
  4. Step 4: Simplify right side
    1,351.46x = 1,825,318.32
  5. Step 5: Solve for x
    x = 1,825,318.32/1,351.46
  6. Step 6: Final answer
    x = 1,350.63

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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.