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Finding the Fourth Proportional to 2,935.34, 4,399.96 and 986.88

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Solution

The fourth proportional to 2,935.34, 4,399.96 and 986.88 is: 1,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.34 : 4,399.96 = 986.88 : x
  2. Step 2: Convert to fraction form
    2,935.34/4,399.96 = 986.88/x
  3. Step 3: Cross multiply
    2,935.34x = 4,399.96 × 986.88
  4. Step 4: Simplify right side
    2,935.34x = 4,342,232.52
  5. Step 5: Solve for x
    x = 4,342,232.52/2,935.34
  6. Step 6: Final answer
    x = 1,479.29

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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.