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Finding the Fourth Proportional to 3,749, 5,173.80 and 2,070.65

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Solution

The fourth proportional to 3,749, 5,173.80 and 2,070.65 is: 2,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749 : 5,173.80 = 2,070.65 : x
  2. Step 2: Convert to fraction form
    3,749/5,173.80 = 2,070.65/x
  3. Step 3: Cross multiply
    3,749x = 5,173.80 × 2,070.65
  4. Step 4: Simplify right side
    3,749x = 10,713,128.97
  5. Step 5: Solve for x
    x = 10,713,128.97/3,749
  6. Step 6: Final answer
    x = 2,857.60

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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.