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Finding the Fourth Proportional to 3,420.91, 4,711.41 and 2,948.63

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Solution

The fourth proportional to 3,420.91, 4,711.41 and 2,948.63 is: 4,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.91 : 4,711.41 = 2,948.63 : x
  2. Step 2: Convert to fraction form
    3,420.91/4,711.41 = 2,948.63/x
  3. Step 3: Cross multiply
    3,420.91x = 4,711.41 × 2,948.63
  4. Step 4: Simplify right side
    3,420.91x = 13,892,193.09
  5. Step 5: Solve for x
    x = 13,892,193.09/3,420.91
  6. Step 6: Final answer
    x = 4,060.97

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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.