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Finding the Fourth Proportional to 2,970.08, 4,100.41 and 2,218

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Solution

The fourth proportional to 2,970.08, 4,100.41 and 2,218 is: 3,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.08 : 4,100.41 = 2,218 : x
  2. Step 2: Convert to fraction form
    2,970.08/4,100.41 = 2,218/x
  3. Step 3: Cross multiply
    2,970.08x = 4,100.41 × 2,218
  4. Step 4: Simplify right side
    2,970.08x = 9,094,709.38
  5. Step 5: Solve for x
    x = 9,094,709.38/2,970.08
  6. Step 6: Final answer
    x = 3,062.11

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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.