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Finding the Fourth Proportional to 2,754.03, 4,130.11 and 805.78

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Solution

The fourth proportional to 2,754.03, 4,130.11 and 805.78 is: 1,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.03 : 4,130.11 = 805.78 : x
  2. Step 2: Convert to fraction form
    2,754.03/4,130.11 = 805.78/x
  3. Step 3: Cross multiply
    2,754.03x = 4,130.11 × 805.78
  4. Step 4: Simplify right side
    2,754.03x = 3,327,960.04
  5. Step 5: Solve for x
    x = 3,327,960.04/2,754.03
  6. Step 6: Final answer
    x = 1,208.40

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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.