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Finding the Fourth Proportional to 2,678.39, 4,014.85 and 922.87

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Solution

The fourth proportional to 2,678.39, 4,014.85 and 922.87 is: 1,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.39 : 4,014.85 = 922.87 : x
  2. Step 2: Convert to fraction form
    2,678.39/4,014.85 = 922.87/x
  3. Step 3: Cross multiply
    2,678.39x = 4,014.85 × 922.87
  4. Step 4: Simplify right side
    2,678.39x = 3,705,184.62
  5. Step 5: Solve for x
    x = 3,705,184.62/2,678.39
  6. Step 6: Final answer
    x = 1,383.36

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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.