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Finding the Fourth Proportional to 2,269.07, 3,401.54 and 807.88

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Solution

The fourth proportional to 2,269.07, 3,401.54 and 807.88 is: 1,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.07 : 3,401.54 = 807.88 : x
  2. Step 2: Convert to fraction form
    2,269.07/3,401.54 = 807.88/x
  3. Step 3: Cross multiply
    2,269.07x = 3,401.54 × 807.88
  4. Step 4: Simplify right side
    2,269.07x = 2,748,039.94
  5. Step 5: Solve for x
    x = 2,748,039.94/2,269.07
  6. Step 6: Final answer
    x = 1,211.09

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1.5x scale

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.