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Finding the Fourth Proportional to 3,100.47, 4,284.20 and 2,307

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Solution

The fourth proportional to 3,100.47, 4,284.20 and 2,307 is: 3,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.47 : 4,284.20 = 2,307 : x
  2. Step 2: Convert to fraction form
    3,100.47/4,284.20 = 2,307/x
  3. Step 3: Cross multiply
    3,100.47x = 4,284.20 × 2,307
  4. Step 4: Simplify right side
    3,100.47x = 9,883,637.87
  5. Step 5: Solve for x
    x = 9,883,637.87/3,100.47
  6. Step 6: Final answer
    x = 3,187.79

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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.