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Finding the Fourth Proportional to 16,390, 22,620.13 and 9,317.48

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Solution

The fourth proportional to 16,390, 22,620.13 and 9,317.48 is: 12,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390 : 22,620.13 = 9,317.48 : x
  2. Step 2: Convert to fraction form
    16,390/22,620.13 = 9,317.48/x
  3. Step 3: Cross multiply
    16,390x = 22,620.13 × 9,317.48
  4. Step 4: Simplify right side
    16,390x = 210,762,608.87
  5. Step 5: Solve for x
    x = 210,762,608.87/16,390
  6. Step 6: Final answer
    x = 12,859.22

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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.