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Finding the Fourth Proportional to 2,934.34, 4,398.46 and 985.88

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Solution

The fourth proportional to 2,934.34, 4,398.46 and 985.88 is: 1,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.34 : 4,398.46 = 985.88 : x
  2. Step 2: Convert to fraction form
    2,934.34/4,398.46 = 985.88/x
  3. Step 3: Cross multiply
    2,934.34x = 4,398.46 × 985.88
  4. Step 4: Simplify right side
    2,934.34x = 4,336,353.74
  5. Step 5: Solve for x
    x = 4,336,353.74/2,934.34
  6. Step 6: Final answer
    x = 1,477.80

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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.