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Finding the Fourth Proportional to 2,889.02, 3,986.34 and 1,647.02

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Solution

The fourth proportional to 2,889.02, 3,986.34 and 1,647.02 is: 2,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.02 : 3,986.34 = 1,647.02 : x
  2. Step 2: Convert to fraction form
    2,889.02/3,986.34 = 1,647.02/x
  3. Step 3: Cross multiply
    2,889.02x = 3,986.34 × 1,647.02
  4. Step 4: Simplify right side
    2,889.02x = 6,565,581.71
  5. Step 5: Solve for x
    x = 6,565,581.71/2,889.02
  6. Step 6: Final answer
    x = 2,272.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.