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Finding the Fourth Proportional to 15,110.98, 20,852 and 8,396.04

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Solution

The fourth proportional to 15,110.98, 20,852 and 8,396.04 is: 11,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,110.98 : 20,852 = 8,396.04 : x
  2. Step 2: Convert to fraction form
    15,110.98/20,852 = 8,396.04/x
  3. Step 3: Cross multiply
    15,110.98x = 20,852 × 8,396.04
  4. Step 4: Simplify right side
    15,110.98x = 175,074,226.08
  5. Step 5: Solve for x
    x = 175,074,226.08/15,110.98
  6. Step 6: Final answer
    x = 11,585.89

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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.