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Finding the Fourth Proportional to 11,398.65, 15,744.96 and 8,778.30

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Solution

The fourth proportional to 11,398.65, 15,744.96 and 8,778.30 is: 12,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.65 : 15,744.96 = 8,778.30 : x
  2. Step 2: Convert to fraction form
    11,398.65/15,744.96 = 8,778.30/x
  3. Step 3: Cross multiply
    11,398.65x = 15,744.96 × 8,778.30
  4. Step 4: Simplify right side
    11,398.65x = 138,213,982.37
  5. Step 5: Solve for x
    x = 138,213,982.37/11,398.65
  6. Step 6: Final answer
    x = 12,125.47

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1.5x scale

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.