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Finding the Fourth Proportional to 25,977, 38,966.22 and 7,509

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Solution

The fourth proportional to 25,977, 38,966.22 and 7,509 is: 11,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977 : 38,966.22 = 7,509 : x
  2. Step 2: Convert to fraction form
    25,977/38,966.22 = 7,509/x
  3. Step 3: Cross multiply
    25,977x = 38,966.22 × 7,509
  4. Step 4: Simplify right side
    25,977x = 292,597,345.98
  5. Step 5: Solve for x
    x = 292,597,345.98/25,977
  6. Step 6: Final answer
    x = 11,263.71

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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.