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Finding the Fourth Proportional to 3,119.64, 4,678.65 and 927.87

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Solution

The fourth proportional to 3,119.64, 4,678.65 and 927.87 is: 1,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.64 : 4,678.65 = 927.87 : x
  2. Step 2: Convert to fraction form
    3,119.64/4,678.65 = 927.87/x
  3. Step 3: Cross multiply
    3,119.64x = 4,678.65 × 927.87
  4. Step 4: Simplify right side
    3,119.64x = 4,341,178.98
  5. Step 5: Solve for x
    x = 4,341,178.98/3,119.64
  6. Step 6: Final answer
    x = 1,391.56

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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.