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Finding the Fourth Proportional to 2,678.72, 4,018.96 and 946.96

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Solution

The fourth proportional to 2,678.72, 4,018.96 and 946.96 is: 1,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.72 : 4,018.96 = 946.96 : x
  2. Step 2: Convert to fraction form
    2,678.72/4,018.96 = 946.96/x
  3. Step 3: Cross multiply
    2,678.72x = 4,018.96 × 946.96
  4. Step 4: Simplify right side
    2,678.72x = 3,805,794.36
  5. Step 5: Solve for x
    x = 3,805,794.36/2,678.72
  6. Step 6: Final answer
    x = 1,420.75

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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.