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Finding the Fourth Proportional to 1,239.72, 1,856.62 and 946.86

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Solution

The fourth proportional to 1,239.72, 1,856.62 and 946.86 is: 1,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.72 : 1,856.62 = 946.86 : x
  2. Step 2: Convert to fraction form
    1,239.72/1,856.62 = 946.86/x
  3. Step 3: Cross multiply
    1,239.72x = 1,856.62 × 946.86
  4. Step 4: Simplify right side
    1,239.72x = 1,757,959.21
  5. Step 5: Solve for x
    x = 1,757,959.21/1,239.72
  6. Step 6: Final answer
    x = 1,418.03

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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.