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Finding the Fourth Proportional to 8,988, 13,484.16 and 2,832

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Solution

The fourth proportional to 8,988, 13,484.16 and 2,832 is: 4,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,988 : 13,484.16 = 2,832 : x
  2. Step 2: Convert to fraction form
    8,988/13,484.16 = 2,832/x
  3. Step 3: Cross multiply
    8,988x = 13,484.16 × 2,832
  4. Step 4: Simplify right side
    8,988x = 38,187,141.12
  5. Step 5: Solve for x
    x = 38,187,141.12/8,988
  6. Step 6: Final answer
    x = 4,248.68

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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.