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Finding the Fourth Proportional to 14,706.16, 20,294.31 and 7,991.71

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Solution

The fourth proportional to 14,706.16, 20,294.31 and 7,991.71 is: 11,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.16 : 20,294.31 = 7,991.71 : x
  2. Step 2: Convert to fraction form
    14,706.16/20,294.31 = 7,991.71/x
  3. Step 3: Cross multiply
    14,706.16x = 20,294.31 × 7,991.71
  4. Step 4: Simplify right side
    14,706.16x = 162,186,240.17
  5. Step 5: Solve for x
    x = 162,186,240.17/14,706.16
  6. Step 6: Final answer
    x = 11,028.46

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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.