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Finding the Fourth Proportional to 15,415, 21,272.70 and 8,791

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Solution

The fourth proportional to 15,415, 21,272.70 and 8,791 is: 12,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415 : 21,272.70 = 8,791 : x
  2. Step 2: Convert to fraction form
    15,415/21,272.70 = 8,791/x
  3. Step 3: Cross multiply
    15,415x = 21,272.70 × 8,791
  4. Step 4: Simplify right side
    15,415x = 187,008,305.70
  5. Step 5: Solve for x
    x = 187,008,305.70/15,415
  6. Step 6: Final answer
    x = 12,131.58

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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.