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Finding the Fourth Proportional to 1,838.76, 2,537.50 and 1,052.78

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Solution

The fourth proportional to 1,838.76, 2,537.50 and 1,052.78 is: 1,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.76 : 2,537.50 = 1,052.78 : x
  2. Step 2: Convert to fraction form
    1,838.76/2,537.50 = 1,052.78/x
  3. Step 3: Cross multiply
    1,838.76x = 2,537.50 × 1,052.78
  4. Step 4: Simplify right side
    1,838.76x = 2,671,429.25
  5. Step 5: Solve for x
    x = 2,671,429.25/1,838.76
  6. Step 6: Final answer
    x = 1,452.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.