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Finding the Fourth Proportional to 3,101.60, 4,641.60 and 2,129.60

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Solution

The fourth proportional to 3,101.60, 4,641.60 and 2,129.60 is: 3,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.60 : 4,641.60 = 2,129.60 : x
  2. Step 2: Convert to fraction form
    3,101.60/4,641.60 = 2,129.60/x
  3. Step 3: Cross multiply
    3,101.60x = 4,641.60 × 2,129.60
  4. Step 4: Simplify right side
    3,101.60x = 9,884,751.36
  5. Step 5: Solve for x
    x = 9,884,751.36/3,101.60
  6. Step 6: Final answer
    x = 3,186.98

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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.