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Finding the Fourth Proportional to 1,859.38, 2,789.54 and 1,312.63

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Solution

The fourth proportional to 1,859.38, 2,789.54 and 1,312.63 is: 1,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.38 : 2,789.54 = 1,312.63 : x
  2. Step 2: Convert to fraction form
    1,859.38/2,789.54 = 1,312.63/x
  3. Step 3: Cross multiply
    1,859.38x = 2,789.54 × 1,312.63
  4. Step 4: Simplify right side
    1,859.38x = 3,661,620.35
  5. Step 5: Solve for x
    x = 3,661,620.35/1,859.38
  6. Step 6: Final answer
    x = 1,969.27

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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.