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Finding the Fourth Proportional to 3,153.90, 4,730.32 and 1,179

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Solution

The fourth proportional to 3,153.90, 4,730.32 and 1,179 is: 1,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.90 : 4,730.32 = 1,179 : x
  2. Step 2: Convert to fraction form
    3,153.90/4,730.32 = 1,179/x
  3. Step 3: Cross multiply
    3,153.90x = 4,730.32 × 1,179
  4. Step 4: Simplify right side
    3,153.90x = 5,577,047.28
  5. Step 5: Solve for x
    x = 5,577,047.28/3,153.90
  6. Step 6: Final answer
    x = 1,768.30

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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.