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Finding the Fourth Proportional to 2,094.95, 3,143.68 and 778.48

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Solution

The fourth proportional to 2,094.95, 3,143.68 and 778.48 is: 1,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.95 : 3,143.68 = 778.48 : x
  2. Step 2: Convert to fraction form
    2,094.95/3,143.68 = 778.48/x
  3. Step 3: Cross multiply
    2,094.95x = 3,143.68 × 778.48
  4. Step 4: Simplify right side
    2,094.95x = 2,447,288.11
  5. Step 5: Solve for x
    x = 2,447,288.11/2,094.95
  6. Step 6: Final answer
    x = 1,168.18

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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.