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Finding the Fourth Proportional to 13,708.79, 20,566.01 and 7,133.21

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Solution

The fourth proportional to 13,708.79, 20,566.01 and 7,133.21 is: 10,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.79 : 20,566.01 = 7,133.21 : x
  2. Step 2: Convert to fraction form
    13,708.79/20,566.01 = 7,133.21/x
  3. Step 3: Cross multiply
    13,708.79x = 20,566.01 × 7,133.21
  4. Step 4: Simplify right side
    13,708.79x = 146,701,583.20
  5. Step 5: Solve for x
    x = 146,701,583.20/13,708.79
  6. Step 6: Final answer
    x = 10,701.28

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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.