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Finding the Fourth Proportional to 6,513.12, 8,988.11 and 3,528.96

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Solution

The fourth proportional to 6,513.12, 8,988.11 and 3,528.96 is: 4,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.12 : 8,988.11 = 3,528.96 : x
  2. Step 2: Convert to fraction form
    6,513.12/8,988.11 = 3,528.96/x
  3. Step 3: Cross multiply
    6,513.12x = 8,988.11 × 3,528.96
  4. Step 4: Simplify right side
    6,513.12x = 31,718,676.25
  5. Step 5: Solve for x
    x = 31,718,676.25/6,513.12
  6. Step 6: Final answer
    x = 4,869.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.