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Finding the Fourth Proportional to 3,388.42, 5,069.06 and 2,931.11

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Solution

The fourth proportional to 3,388.42, 5,069.06 and 2,931.11 is: 4,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.42 : 5,069.06 = 2,931.11 : x
  2. Step 2: Convert to fraction form
    3,388.42/5,069.06 = 2,931.11/x
  3. Step 3: Cross multiply
    3,388.42x = 5,069.06 × 2,931.11
  4. Step 4: Simplify right side
    3,388.42x = 14,857,972.46
  5. Step 5: Solve for x
    x = 14,857,972.46/3,388.42
  6. Step 6: Final answer
    x = 4,384.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.