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Finding the Fourth Proportional to 1,857.54, 2,784.98 and 932.43

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Solution

The fourth proportional to 1,857.54, 2,784.98 and 932.43 is: 1,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.54 : 2,784.98 = 932.43 : x
  2. Step 2: Convert to fraction form
    1,857.54/2,784.98 = 932.43/x
  3. Step 3: Cross multiply
    1,857.54x = 2,784.98 × 932.43
  4. Step 4: Simplify right side
    1,857.54x = 2,596,794.24
  5. Step 5: Solve for x
    x = 2,596,794.24/1,857.54
  6. Step 6: Final answer
    x = 1,397.97

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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.