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Finding the Fourth Proportional to 2,978.56, 4,098.36 and 2,902.24

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Solution

The fourth proportional to 2,978.56, 4,098.36 and 2,902.24 is: 3,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.56 : 4,098.36 = 2,902.24 : x
  2. Step 2: Convert to fraction form
    2,978.56/4,098.36 = 2,902.24/x
  3. Step 3: Cross multiply
    2,978.56x = 4,098.36 × 2,902.24
  4. Step 4: Simplify right side
    2,978.56x = 11,894,424.33
  5. Step 5: Solve for x
    x = 11,894,424.33/2,978.56
  6. Step 6: Final answer
    x = 3,993.35

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1.5x scale

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.