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Finding the Fourth Proportional to 9,612, 13,255.11 and 5,835.78

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Solution

The fourth proportional to 9,612, 13,255.11 and 5,835.78 is: 8,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 13,255.11 = 5,835.78 : x
  2. Step 2: Convert to fraction form
    9,612/13,255.11 = 5,835.78/x
  3. Step 3: Cross multiply
    9,612x = 13,255.11 × 5,835.78
  4. Step 4: Simplify right side
    9,612x = 77,353,905.84
  5. Step 5: Solve for x
    x = 77,353,905.84/9,612
  6. Step 6: Final answer
    x = 8,047.64

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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.