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Finding the Fourth Proportional to 2,934.84, 4,402.32 and 986.88

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Solution

The fourth proportional to 2,934.84, 4,402.32 and 986.88 is: 1,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.84 : 4,402.32 = 986.88 : x
  2. Step 2: Convert to fraction form
    2,934.84/4,402.32 = 986.88/x
  3. Step 3: Cross multiply
    2,934.84x = 4,402.32 × 986.88
  4. Step 4: Simplify right side
    2,934.84x = 4,344,561.56
  5. Step 5: Solve for x
    x = 4,344,561.56/2,934.84
  6. Step 6: Final answer
    x = 1,480.34

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1.5x scale

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.