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Finding the Fourth Proportional to 3,153.10, 4,730.16 and 961.64

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Solution

The fourth proportional to 3,153.10, 4,730.16 and 961.64 is: 1,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.10 : 4,730.16 = 961.64 : x
  2. Step 2: Convert to fraction form
    3,153.10/4,730.16 = 961.64/x
  3. Step 3: Cross multiply
    3,153.10x = 4,730.16 × 961.64
  4. Step 4: Simplify right side
    3,153.10x = 4,548,711.06
  5. Step 5: Solve for x
    x = 4,548,711.06/3,153.10
  6. Step 6: Final answer
    x = 1,442.62

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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.