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Finding the Fourth Proportional to 13,717.16, 20,530.86 and 7,461.56

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Solution

The fourth proportional to 13,717.16, 20,530.86 and 7,461.56 is: 11,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.16 : 20,530.86 = 7,461.56 : x
  2. Step 2: Convert to fraction form
    13,717.16/20,530.86 = 7,461.56/x
  3. Step 3: Cross multiply
    13,717.16x = 20,530.86 × 7,461.56
  4. Step 4: Simplify right side
    13,717.16x = 153,192,243.74
  5. Step 5: Solve for x
    x = 153,192,243.74/13,717.16
  6. Step 6: Final answer
    x = 11,167.93

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