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Finding the Fourth Proportional to 1,872, 2,801.52 and 1,765.53

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Solution

The fourth proportional to 1,872, 2,801.52 and 1,765.53 is: 2,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872 : 2,801.52 = 1,765.53 : x
  2. Step 2: Convert to fraction form
    1,872/2,801.52 = 1,765.53/x
  3. Step 3: Cross multiply
    1,872x = 2,801.52 × 1,765.53
  4. Step 4: Simplify right side
    1,872x = 4,946,167.61
  5. Step 5: Solve for x
    x = 4,946,167.61/1,872
  6. Step 6: Final answer
    x = 2,642.18

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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.