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Finding the Fourth Proportional to 2,647.27, 3,970.91 and 699.63

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Solution

The fourth proportional to 2,647.27, 3,970.91 and 699.63 is: 1,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.27 : 3,970.91 = 699.63 : x
  2. Step 2: Convert to fraction form
    2,647.27/3,970.91 = 699.63/x
  3. Step 3: Cross multiply
    2,647.27x = 3,970.91 × 699.63
  4. Step 4: Simplify right side
    2,647.27x = 2,778,167.76
  5. Step 5: Solve for x
    x = 2,778,167.76/2,647.27
  6. Step 6: Final answer
    x = 1,049.45

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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.