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Finding the Fourth Proportional to 15,157.80, 20,914.20 and 9,188.10

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Solution

The fourth proportional to 15,157.80, 20,914.20 and 9,188.10 is: 12,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.80 : 20,914.20 = 9,188.10 : x
  2. Step 2: Convert to fraction form
    15,157.80/20,914.20 = 9,188.10/x
  3. Step 3: Cross multiply
    15,157.80x = 20,914.20 × 9,188.10
  4. Step 4: Simplify right side
    15,157.80x = 192,161,761.02
  5. Step 5: Solve for x
    x = 192,161,761.02/15,157.80
  6. Step 6: Final answer
    x = 12,677.42

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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.