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Finding the Fourth Proportional to 3,849.80, 5,774.69 and 928.10

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Solution

The fourth proportional to 3,849.80, 5,774.69 and 928.10 is: 1,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.80 : 5,774.69 = 928.10 : x
  2. Step 2: Convert to fraction form
    3,849.80/5,774.69 = 928.10/x
  3. Step 3: Cross multiply
    3,849.80x = 5,774.69 × 928.10
  4. Step 4: Simplify right side
    3,849.80x = 5,359,489.79
  5. Step 5: Solve for x
    x = 5,359,489.79/3,849.80
  6. Step 6: Final answer
    x = 1,392.15

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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.