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Finding the Fourth Proportional to 2,751.60, 4,127.04 and 1,364.40

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Solution

The fourth proportional to 2,751.60, 4,127.04 and 1,364.40 is: 2,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.60 : 4,127.04 = 1,364.40 : x
  2. Step 2: Convert to fraction form
    2,751.60/4,127.04 = 1,364.40/x
  3. Step 3: Cross multiply
    2,751.60x = 4,127.04 × 1,364.40
  4. Step 4: Simplify right side
    2,751.60x = 5,630,933.38
  5. Step 5: Solve for x
    x = 5,630,933.38/2,751.60
  6. Step 6: Final answer
    x = 2,046.42

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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.