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Finding the Fourth Proportional to 9,612, 13,266 and 5,888.16

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Solution

The fourth proportional to 9,612, 13,266 and 5,888.16 is: 8,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 13,266 = 5,888.16 : x
  2. Step 2: Convert to fraction form
    9,612/13,266 = 5,888.16/x
  3. Step 3: Cross multiply
    9,612x = 13,266 × 5,888.16
  4. Step 4: Simplify right side
    9,612x = 78,112,330.56
  5. Step 5: Solve for x
    x = 78,112,330.56/9,612
  6. Step 6: Final answer
    x = 8,126.54

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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.