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Finding the Fourth Proportional to 2,627.68, 3,942.09 and 778.66

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Solution

The fourth proportional to 2,627.68, 3,942.09 and 778.66 is: 1,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.68 : 3,942.09 = 778.66 : x
  2. Step 2: Convert to fraction form
    2,627.68/3,942.09 = 778.66/x
  3. Step 3: Cross multiply
    2,627.68x = 3,942.09 × 778.66
  4. Step 4: Simplify right side
    2,627.68x = 3,069,547.80
  5. Step 5: Solve for x
    x = 3,069,547.80/2,627.68
  6. Step 6: Final answer
    x = 1,168.16

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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.