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Finding the Fourth Proportional to 14,871.23, 20,522.87 and 8,157.14

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Solution

The fourth proportional to 14,871.23, 20,522.87 and 8,157.14 is: 11,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.23 : 20,522.87 = 8,157.14 : x
  2. Step 2: Convert to fraction form
    14,871.23/20,522.87 = 8,157.14/x
  3. Step 3: Cross multiply
    14,871.23x = 20,522.87 × 8,157.14
  4. Step 4: Simplify right side
    14,871.23x = 167,407,780.39
  5. Step 5: Solve for x
    x = 167,407,780.39/14,871.23
  6. Step 6: Final answer
    x = 11,257.16

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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.