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Finding the Fourth Proportional to 13,406.76, 20,102.76 and 7,174.08

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Solution

The fourth proportional to 13,406.76, 20,102.76 and 7,174.08 is: 10,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.76 : 20,102.76 = 7,174.08 : x
  2. Step 2: Convert to fraction form
    13,406.76/20,102.76 = 7,174.08/x
  3. Step 3: Cross multiply
    13,406.76x = 20,102.76 × 7,174.08
  4. Step 4: Simplify right side
    13,406.76x = 144,218,808.46
  5. Step 5: Solve for x
    x = 144,218,808.46/13,406.76
  6. Step 6: Final answer
    x = 10,757.17

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1.5x scale

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.