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Finding the Fourth Proportional to 2,749, 3,793.62 and 1,507.08

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Solution

The fourth proportional to 2,749, 3,793.62 and 1,507.08 is: 2,079.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749 : 3,793.62 = 1,507.08 : x
  2. Step 2: Convert to fraction form
    2,749/3,793.62 = 1,507.08/x
  3. Step 3: Cross multiply
    2,749x = 3,793.62 × 1,507.08
  4. Step 4: Simplify right side
    2,749x = 5,717,288.83
  5. Step 5: Solve for x
    x = 5,717,288.83/2,749
  6. Step 6: Final answer
    x = 2,079.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.