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Finding the Fourth Proportional to 15,759, 21,749.58 and 9,135

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Solution

The fourth proportional to 15,759, 21,749.58 and 9,135 is: 12,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759 : 21,749.58 = 9,135 : x
  2. Step 2: Convert to fraction form
    15,759/21,749.58 = 9,135/x
  3. Step 3: Cross multiply
    15,759x = 21,749.58 × 9,135
  4. Step 4: Simplify right side
    15,759x = 198,682,413.30
  5. Step 5: Solve for x
    x = 198,682,413.30/15,759
  6. Step 6: Final answer
    x = 12,607.55

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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.