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Finding the Fourth Proportional to 3,851.84, 5,778.72 and 1,078.51

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Solution

The fourth proportional to 3,851.84, 5,778.72 and 1,078.51 is: 1,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.84 : 5,778.72 = 1,078.51 : x
  2. Step 2: Convert to fraction form
    3,851.84/5,778.72 = 1,078.51/x
  3. Step 3: Cross multiply
    3,851.84x = 5,778.72 × 1,078.51
  4. Step 4: Simplify right side
    3,851.84x = 6,232,407.31
  5. Step 5: Solve for x
    x = 6,232,407.31/3,851.84
  6. Step 6: Final answer
    x = 1,618.03

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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.