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Finding the Fourth Proportional to 4,769.78, 7,156.72 and 2,306.44

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Solution

The fourth proportional to 4,769.78, 7,156.72 and 2,306.44 is: 3,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.78 : 7,156.72 = 2,306.44 : x
  2. Step 2: Convert to fraction form
    4,769.78/7,156.72 = 2,306.44/x
  3. Step 3: Cross multiply
    4,769.78x = 7,156.72 × 2,306.44
  4. Step 4: Simplify right side
    4,769.78x = 16,506,545.28
  5. Step 5: Solve for x
    x = 16,506,545.28/4,769.78
  6. Step 6: Final answer
    x = 3,460.65

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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.