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Finding the Fourth Proportional to 2,961.77, 4,442.45 and 1,013.72

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Solution

The fourth proportional to 2,961.77, 4,442.45 and 1,013.72 is: 1,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.77 : 4,442.45 = 1,013.72 : x
  2. Step 2: Convert to fraction form
    2,961.77/4,442.45 = 1,013.72/x
  3. Step 3: Cross multiply
    2,961.77x = 4,442.45 × 1,013.72
  4. Step 4: Simplify right side
    2,961.77x = 4,503,373.13
  5. Step 5: Solve for x
    x = 4,503,373.13/2,961.77
  6. Step 6: Final answer
    x = 1,520.50

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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.