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Finding the Fourth Proportional to 9,428, 13,011 and 5,236.56

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Solution

The fourth proportional to 9,428, 13,011 and 5,236.56 is: 7,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428 : 13,011 = 5,236.56 : x
  2. Step 2: Convert to fraction form
    9,428/13,011 = 5,236.56/x
  3. Step 3: Cross multiply
    9,428x = 13,011 × 5,236.56
  4. Step 4: Simplify right side
    9,428x = 68,132,882.16
  5. Step 5: Solve for x
    x = 68,132,882.16/9,428
  6. Step 6: Final answer
    x = 7,226.65

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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.