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Finding the Fourth Proportional to 13,332.16, 18,398.36 and 7,668

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Solution

The fourth proportional to 13,332.16, 18,398.36 and 7,668 is: 10,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,332.16 : 18,398.36 = 7,668 : x
  2. Step 2: Convert to fraction form
    13,332.16/18,398.36 = 7,668/x
  3. Step 3: Cross multiply
    13,332.16x = 18,398.36 × 7,668
  4. Step 4: Simplify right side
    13,332.16x = 141,078,624.48
  5. Step 5: Solve for x
    x = 141,078,624.48/13,332.16
  6. Step 6: Final answer
    x = 10,581.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.