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Finding the Fourth Proportional to 9,222, 12,726.36 and 5,910

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Solution

The fourth proportional to 9,222, 12,726.36 and 5,910 is: 8,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222 : 12,726.36 = 5,910 : x
  2. Step 2: Convert to fraction form
    9,222/12,726.36 = 5,910/x
  3. Step 3: Cross multiply
    9,222x = 12,726.36 × 5,910
  4. Step 4: Simplify right side
    9,222x = 75,212,787.60
  5. Step 5: Solve for x
    x = 75,212,787.60/9,222
  6. Step 6: Final answer
    x = 8,155.80

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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.