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Finding the Fourth Proportional to 3,160.63, 4,743.10 and 1,108.63

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Solution

The fourth proportional to 3,160.63, 4,743.10 and 1,108.63 is: 1,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.63 : 4,743.10 = 1,108.63 : x
  2. Step 2: Convert to fraction form
    3,160.63/4,743.10 = 1,108.63/x
  3. Step 3: Cross multiply
    3,160.63x = 4,743.10 × 1,108.63
  4. Step 4: Simplify right side
    3,160.63x = 5,258,319.24
  5. Step 5: Solve for x
    x = 5,258,319.24/3,160.63
  6. Step 6: Final answer
    x = 1,663.70

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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.