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Finding the Fourth Proportional to 15,122.60, 22,656.90 and 7,314.20

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Solution

The fourth proportional to 15,122.60, 22,656.90 and 7,314.20 is: 10,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.60 : 22,656.90 = 7,314.20 : x
  2. Step 2: Convert to fraction form
    15,122.60/22,656.90 = 7,314.20/x
  3. Step 3: Cross multiply
    15,122.60x = 22,656.90 × 7,314.20
  4. Step 4: Simplify right side
    15,122.60x = 165,717,097.98
  5. Step 5: Solve for x
    x = 165,717,097.98/15,122.60
  6. Step 6: Final answer
    x = 10,958.24

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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.