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Finding the Fourth Proportional to 1,838.58, 2,757.97 and 606.10

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Solution

The fourth proportional to 1,838.58, 2,757.97 and 606.10 is: 909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.58 : 2,757.97 = 606.10 : x
  2. Step 2: Convert to fraction form
    1,838.58/2,757.97 = 606.10/x
  3. Step 3: Cross multiply
    1,838.58x = 2,757.97 × 606.10
  4. Step 4: Simplify right side
    1,838.58x = 1,671,605.62
  5. Step 5: Solve for x
    x = 1,671,605.62/1,838.58
  6. Step 6: Final answer
    x = 909.18

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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.