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Finding the Fourth Proportional to 3,160.18, 4,739.88 and 851.86

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Solution

The fourth proportional to 3,160.18, 4,739.88 and 851.86 is: 1,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.18 : 4,739.88 = 851.86 : x
  2. Step 2: Convert to fraction form
    3,160.18/4,739.88 = 851.86/x
  3. Step 3: Cross multiply
    3,160.18x = 4,739.88 × 851.86
  4. Step 4: Simplify right side
    3,160.18x = 4,037,714.18
  5. Step 5: Solve for x
    x = 4,037,714.18/3,160.18
  6. Step 6: Final answer
    x = 1,277.68

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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.