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Finding the Fourth Proportional to 1,392.86, 1,924.02 and 1,115.09

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Solution

The fourth proportional to 1,392.86, 1,924.02 and 1,115.09 is: 1,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.86 : 1,924.02 = 1,115.09 : x
  2. Step 2: Convert to fraction form
    1,392.86/1,924.02 = 1,115.09/x
  3. Step 3: Cross multiply
    1,392.86x = 1,924.02 × 1,115.09
  4. Step 4: Simplify right side
    1,392.86x = 2,145,445.84
  5. Step 5: Solve for x
    x = 2,145,445.84/1,392.86
  6. Step 6: Final answer
    x = 1,540.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.