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Finding the Fourth Proportional to 3,161.78, 4,742.88 and 970.52

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Solution

The fourth proportional to 3,161.78, 4,742.88 and 970.52 is: 1,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.78 : 4,742.88 = 970.52 : x
  2. Step 2: Convert to fraction form
    3,161.78/4,742.88 = 970.52/x
  3. Step 3: Cross multiply
    3,161.78x = 4,742.88 × 970.52
  4. Step 4: Simplify right side
    3,161.78x = 4,603,059.90
  5. Step 5: Solve for x
    x = 4,603,059.90/3,161.78
  6. Step 6: Final answer
    x = 1,455.84

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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.