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Finding the Fourth Proportional to 4,438, 6,125.25 and 2,575

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Solution

The fourth proportional to 4,438, 6,125.25 and 2,575 is: 3,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438 : 6,125.25 = 2,575 : x
  2. Step 2: Convert to fraction form
    4,438/6,125.25 = 2,575/x
  3. Step 3: Cross multiply
    4,438x = 6,125.25 × 2,575
  4. Step 4: Simplify right side
    4,438x = 15,772,518.75
  5. Step 5: Solve for x
    x = 15,772,518.75/4,438
  6. Step 6: Final answer
    x = 3,553.97

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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.