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Finding the Fourth Proportional to 2,760.47, 3,807.77 and 1,751.82

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Solution

The fourth proportional to 2,760.47, 3,807.77 and 1,751.82 is: 2,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.47 : 3,807.77 = 1,751.82 : x
  2. Step 2: Convert to fraction form
    2,760.47/3,807.77 = 1,751.82/x
  3. Step 3: Cross multiply
    2,760.47x = 3,807.77 × 1,751.82
  4. Step 4: Simplify right side
    2,760.47x = 6,670,527.64
  5. Step 5: Solve for x
    x = 6,670,527.64/2,760.47
  6. Step 6: Final answer
    x = 2,416.45

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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.