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Finding the Fourth Proportional to 2,017.25, 3,027.05 and 847.16

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Solution

The fourth proportional to 2,017.25, 3,027.05 and 847.16 is: 1,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.25 : 3,027.05 = 847.16 : x
  2. Step 2: Convert to fraction form
    2,017.25/3,027.05 = 847.16/x
  3. Step 3: Cross multiply
    2,017.25x = 3,027.05 × 847.16
  4. Step 4: Simplify right side
    2,017.25x = 2,564,387.66
  5. Step 5: Solve for x
    x = 2,564,387.66/2,017.25
  6. Step 6: Final answer
    x = 1,271.23

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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.