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Finding the Fourth Proportional to 3,101.60, 4,652.40 and 1,806.40

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Solution

The fourth proportional to 3,101.60, 4,652.40 and 1,806.40 is: 2,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.60 : 4,652.40 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    3,101.60/4,652.40 = 1,806.40/x
  3. Step 3: Cross multiply
    3,101.60x = 4,652.40 × 1,806.40
  4. Step 4: Simplify right side
    3,101.60x = 8,404,095.36
  5. Step 5: Solve for x
    x = 8,404,095.36/3,101.60
  6. Step 6: Final answer
    x = 2,709.60

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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.