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Finding the Fourth Proportional to 9,221, 13,831.74 and 3,065

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Solution

The fourth proportional to 9,221, 13,831.74 and 3,065 is: 4,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221 : 13,831.74 = 3,065 : x
  2. Step 2: Convert to fraction form
    9,221/13,831.74 = 3,065/x
  3. Step 3: Cross multiply
    9,221x = 13,831.74 × 3,065
  4. Step 4: Simplify right side
    9,221x = 42,394,283.10
  5. Step 5: Solve for x
    x = 42,394,283.10/9,221
  6. Step 6: Final answer
    x = 4,597.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.