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Finding the Fourth Proportional to 4,725.88, 7,086 and 1,438

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Solution

The fourth proportional to 4,725.88, 7,086 and 1,438 is: 2,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.88 : 7,086 = 1,438 : x
  2. Step 2: Convert to fraction form
    4,725.88/7,086 = 1,438/x
  3. Step 3: Cross multiply
    4,725.88x = 7,086 × 1,438
  4. Step 4: Simplify right side
    4,725.88x = 10,189,668
  5. Step 5: Solve for x
    x = 10,189,668/4,725.88
  6. Step 6: Final answer
    x = 2,156.14

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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.