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Finding the Fourth Proportional to 4,776.78, 7,154.78 and 2,922.28

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Solution

The fourth proportional to 4,776.78, 7,154.78 and 2,922.28 is: 4,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.78 : 7,154.78 = 2,922.28 : x
  2. Step 2: Convert to fraction form
    4,776.78/7,154.78 = 2,922.28/x
  3. Step 3: Cross multiply
    4,776.78x = 7,154.78 × 2,922.28
  4. Step 4: Simplify right side
    4,776.78x = 20,908,255.89
  5. Step 5: Solve for x
    x = 20,908,255.89/4,776.78
  6. Step 6: Final answer
    x = 4,377.07

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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.