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Finding the Fourth Proportional to 2,948.81, 4,398.30 and 2,777.49

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Solution

The fourth proportional to 2,948.81, 4,398.30 and 2,777.49 is: 4,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.81 : 4,398.30 = 2,777.49 : x
  2. Step 2: Convert to fraction form
    2,948.81/4,398.30 = 2,777.49/x
  3. Step 3: Cross multiply
    2,948.81x = 4,398.30 × 2,777.49
  4. Step 4: Simplify right side
    2,948.81x = 12,216,234.27
  5. Step 5: Solve for x
    x = 12,216,234.27/2,948.81
  6. Step 6: Final answer
    x = 4,142.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.