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Finding the Fourth Proportional to 11,523.60, 17,310.06 and 9,772.20

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Solution

The fourth proportional to 11,523.60, 17,310.06 and 9,772.20 is: 14,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.60 : 17,310.06 = 9,772.20 : x
  2. Step 2: Convert to fraction form
    11,523.60/17,310.06 = 9,772.20/x
  3. Step 3: Cross multiply
    11,523.60x = 17,310.06 × 9,772.20
  4. Step 4: Simplify right side
    11,523.60x = 169,157,368.33
  5. Step 5: Solve for x
    x = 169,157,368.33/11,523.60
  6. Step 6: Final answer
    x = 14,679.21

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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.