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Finding the Fourth Proportional to 1,838.76, 2,751.74 and 1,505.84

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Solution

The fourth proportional to 1,838.76, 2,751.74 and 1,505.84 is: 2,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.76 : 2,751.74 = 1,505.84 : x
  2. Step 2: Convert to fraction form
    1,838.76/2,751.74 = 1,505.84/x
  3. Step 3: Cross multiply
    1,838.76x = 2,751.74 × 1,505.84
  4. Step 4: Simplify right side
    1,838.76x = 4,143,680.16
  5. Step 5: Solve for x
    x = 4,143,680.16/1,838.76
  6. Step 6: Final answer
    x = 2,253.52

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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.