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Finding the Fourth Proportional to 12,509.96, 17,243.89 and 9,853.16

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Solution

The fourth proportional to 12,509.96, 17,243.89 and 9,853.16 is: 13,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.96 : 17,243.89 = 9,853.16 : x
  2. Step 2: Convert to fraction form
    12,509.96/17,243.89 = 9,853.16/x
  3. Step 3: Cross multiply
    12,509.96x = 17,243.89 × 9,853.16
  4. Step 4: Simplify right side
    12,509.96x = 169,906,696.34
  5. Step 5: Solve for x
    x = 169,906,696.34/12,509.96
  6. Step 6: Final answer
    x = 13,581.72

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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.