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Finding the Fourth Proportional to 1,838.69, 2,754.54 and 1,425.80

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Solution

The fourth proportional to 1,838.69, 2,754.54 and 1,425.80 is: 2,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.69 : 2,754.54 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    1,838.69/2,754.54 = 1,425.80/x
  3. Step 3: Cross multiply
    1,838.69x = 2,754.54 × 1,425.80
  4. Step 4: Simplify right side
    1,838.69x = 3,927,409.36
  5. Step 5: Solve for x
    x = 3,927,409.36/1,838.69
  6. Step 6: Final answer
    x = 2,135.99

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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.