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Finding the Fourth Proportional to 8,986.84, 13,475.70 and 5,290.20

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Solution

The fourth proportional to 8,986.84, 13,475.70 and 5,290.20 is: 7,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.84 : 13,475.70 = 5,290.20 : x
  2. Step 2: Convert to fraction form
    8,986.84/13,475.70 = 5,290.20/x
  3. Step 3: Cross multiply
    8,986.84x = 13,475.70 × 5,290.20
  4. Step 4: Simplify right side
    8,986.84x = 71,289,148.14
  5. Step 5: Solve for x
    x = 71,289,148.14/8,986.84
  6. Step 6: Final answer
    x = 7,932.62

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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.