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Finding the Fourth Proportional to 2,988.72, 4,476.12 and 2,884.90

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Solution

The fourth proportional to 2,988.72, 4,476.12 and 2,884.90 is: 4,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.72 : 4,476.12 = 2,884.90 : x
  2. Step 2: Convert to fraction form
    2,988.72/4,476.12 = 2,884.90/x
  3. Step 3: Cross multiply
    2,988.72x = 4,476.12 × 2,884.90
  4. Step 4: Simplify right side
    2,988.72x = 12,913,158.59
  5. Step 5: Solve for x
    x = 12,913,158.59/2,988.72
  6. Step 6: Final answer
    x = 4,320.63

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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.