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Finding the Fourth Proportional to 15,158.40, 22,742.09 and 7,768.05

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Solution

The fourth proportional to 15,158.40, 22,742.09 and 7,768.05 is: 11,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,158.40 : 22,742.09 = 7,768.05 : x
  2. Step 2: Convert to fraction form
    15,158.40/22,742.09 = 7,768.05/x
  3. Step 3: Cross multiply
    15,158.40x = 22,742.09 × 7,768.05
  4. Step 4: Simplify right side
    15,158.40x = 176,661,692.22
  5. Step 5: Solve for x
    x = 176,661,692.22/15,158.40
  6. Step 6: Final answer
    x = 11,654.38

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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.