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Finding the Fourth Proportional to 15,415, 23,126.34 and 4,471

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Solution

The fourth proportional to 15,415, 23,126.34 and 4,471 is: 6,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415 : 23,126.34 = 4,471 : x
  2. Step 2: Convert to fraction form
    15,415/23,126.34 = 4,471/x
  3. Step 3: Cross multiply
    15,415x = 23,126.34 × 4,471
  4. Step 4: Simplify right side
    15,415x = 103,397,866.14
  5. Step 5: Solve for x
    x = 103,397,866.14/15,415
  6. Step 6: Final answer
    x = 6,707.61

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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.