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Finding the Fourth Proportional to 14,706.29, 20,294.81 and 7,991.92

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Solution

The fourth proportional to 14,706.29, 20,294.81 and 7,991.92 is: 11,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.29 : 20,294.81 = 7,991.92 : x
  2. Step 2: Convert to fraction form
    14,706.29/20,294.81 = 7,991.92/x
  3. Step 3: Cross multiply
    14,706.29x = 20,294.81 × 7,991.92
  4. Step 4: Simplify right side
    14,706.29x = 162,194,407.24
  5. Step 5: Solve for x
    x = 162,194,407.24/14,706.29
  6. Step 6: Final answer
    x = 11,028.91

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1.5x scale

Why These Related Problems?

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