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Finding the Fourth Proportional to 4,775.78, 7,161.35 and 1,488.87

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Solution

The fourth proportional to 4,775.78, 7,161.35 and 1,488.87 is: 2,232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.78 : 7,161.35 = 1,488.87 : x
  2. Step 2: Convert to fraction form
    4,775.78/7,161.35 = 1,488.87/x
  3. Step 3: Cross multiply
    4,775.78x = 7,161.35 × 1,488.87
  4. Step 4: Simplify right side
    4,775.78x = 10,662,311.73
  5. Step 5: Solve for x
    x = 10,662,311.73/4,775.78
  6. Step 6: Final answer
    x = 2,232.58

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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.