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Finding the Fourth Proportional to 3,470.28, 5,178.28 and 3,102

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Solution

The fourth proportional to 3,470.28, 5,178.28 and 3,102 is: 4,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.28 : 5,178.28 = 3,102 : x
  2. Step 2: Convert to fraction form
    3,470.28/5,178.28 = 3,102/x
  3. Step 3: Cross multiply
    3,470.28x = 5,178.28 × 3,102
  4. Step 4: Simplify right side
    3,470.28x = 16,063,024.56
  5. Step 5: Solve for x
    x = 16,063,024.56/3,470.28
  6. Step 6: Final answer
    x = 4,628.74

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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.