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Finding the Fourth Proportional to 4,394.40, 6,062 and 2,978.16

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Solution

The fourth proportional to 4,394.40, 6,062 and 2,978.16 is: 4,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.40 : 6,062 = 2,978.16 : x
  2. Step 2: Convert to fraction form
    4,394.40/6,062 = 2,978.16/x
  3. Step 3: Cross multiply
    4,394.40x = 6,062 × 2,978.16
  4. Step 4: Simplify right side
    4,394.40x = 18,053,605.92
  5. Step 5: Solve for x
    x = 18,053,605.92/4,394.40
  6. Step 6: Final answer
    x = 4,108.32

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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.