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Finding the Fourth Proportional to 3,031.78, 4,184.31 and 2,844.16

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Solution

The fourth proportional to 3,031.78, 4,184.31 and 2,844.16 is: 3,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.78 : 4,184.31 = 2,844.16 : x
  2. Step 2: Convert to fraction form
    3,031.78/4,184.31 = 2,844.16/x
  3. Step 3: Cross multiply
    3,031.78x = 4,184.31 × 2,844.16
  4. Step 4: Simplify right side
    3,031.78x = 11,900,854.87
  5. Step 5: Solve for x
    x = 11,900,854.87/3,031.78
  6. Step 6: Final answer
    x = 3,925.37

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