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Finding the Fourth Proportional to 9,661, 13,332.18 and 5,245

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Solution

The fourth proportional to 9,661, 13,332.18 and 5,245 is: 7,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661 : 13,332.18 = 5,245 : x
  2. Step 2: Convert to fraction form
    9,661/13,332.18 = 5,245/x
  3. Step 3: Cross multiply
    9,661x = 13,332.18 × 5,245
  4. Step 4: Simplify right side
    9,661x = 69,927,284.10
  5. Step 5: Solve for x
    x = 69,927,284.10/9,661
  6. Step 6: Final answer
    x = 7,238.10

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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.