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Finding the Fourth Proportional to 3,119.33, 4,678.95 and 928.08

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Solution

The fourth proportional to 3,119.33, 4,678.95 and 928.08 is: 1,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.33 : 4,678.95 = 928.08 : x
  2. Step 2: Convert to fraction form
    3,119.33/4,678.95 = 928.08/x
  3. Step 3: Cross multiply
    3,119.33x = 4,678.95 × 928.08
  4. Step 4: Simplify right side
    3,119.33x = 4,342,439.92
  5. Step 5: Solve for x
    x = 4,342,439.92/3,119.33
  6. Step 6: Final answer
    x = 1,392.11

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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.