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Finding the Fourth Proportional to 3,472.07, 5,209.00 and 1,392.14

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Solution

The fourth proportional to 3,472.07, 5,209.00 and 1,392.14 is: 2,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.07 : 5,209.00 = 1,392.14 : x
  2. Step 2: Convert to fraction form
    3,472.07/5,209.00 = 1,392.14/x
  3. Step 3: Cross multiply
    3,472.07x = 5,209.00 × 1,392.14
  4. Step 4: Simplify right side
    3,472.07x = 7,251,666.80
  5. Step 5: Solve for x
    x = 7,251,666.80/3,472.07
  6. Step 6: Final answer
    x = 2,088.57

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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.