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Finding the Fourth Proportional to 2,577.66, 3,867.21 and 847.50

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Solution

The fourth proportional to 2,577.66, 3,867.21 and 847.50 is: 1,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.66 : 3,867.21 = 847.50 : x
  2. Step 2: Convert to fraction form
    2,577.66/3,867.21 = 847.50/x
  3. Step 3: Cross multiply
    2,577.66x = 3,867.21 × 847.50
  4. Step 4: Simplify right side
    2,577.66x = 3,277,436.90
  5. Step 5: Solve for x
    x = 3,277,436.90/2,577.66
  6. Step 6: Final answer
    x = 1,271.48

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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.