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Finding the Fourth Proportional to 2,740.60, 4,110.90 and 1,009.90

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Solution

The fourth proportional to 2,740.60, 4,110.90 and 1,009.90 is: 1,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.60 : 4,110.90 = 1,009.90 : x
  2. Step 2: Convert to fraction form
    2,740.60/4,110.90 = 1,009.90/x
  3. Step 3: Cross multiply
    2,740.60x = 4,110.90 × 1,009.90
  4. Step 4: Simplify right side
    2,740.60x = 4,151,597.91
  5. Step 5: Solve for x
    x = 4,151,597.91/2,740.60
  6. Step 6: Final answer
    x = 1,514.85

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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.