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Finding the Fourth Proportional to 2,934.84, 4,402.28 and 987.02

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Solution

The fourth proportional to 2,934.84, 4,402.28 and 987.02 is: 1,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.84 : 4,402.28 = 987.02 : x
  2. Step 2: Convert to fraction form
    2,934.84/4,402.28 = 987.02/x
  3. Step 3: Cross multiply
    2,934.84x = 4,402.28 × 987.02
  4. Step 4: Simplify right side
    2,934.84x = 4,345,116.39
  5. Step 5: Solve for x
    x = 4,345,116.39/2,934.84
  6. Step 6: Final answer
    x = 1,480.53

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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.