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Finding the Fourth Proportional to 2,678.16, 4,016.44 and 922.87

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Solution

The fourth proportional to 2,678.16, 4,016.44 and 922.87 is: 1,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.16 : 4,016.44 = 922.87 : x
  2. Step 2: Convert to fraction form
    2,678.16/4,016.44 = 922.87/x
  3. Step 3: Cross multiply
    2,678.16x = 4,016.44 × 922.87
  4. Step 4: Simplify right side
    2,678.16x = 3,706,651.98
  5. Step 5: Solve for x
    x = 3,706,651.98/2,678.16
  6. Step 6: Final answer
    x = 1,384.03

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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.