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Finding the Fourth Proportional to 7,693.40, 11,540.10 and 2,499.80

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Solution

The fourth proportional to 7,693.40, 11,540.10 and 2,499.80 is: 3,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.40 : 11,540.10 = 2,499.80 : x
  2. Step 2: Convert to fraction form
    7,693.40/11,540.10 = 2,499.80/x
  3. Step 3: Cross multiply
    7,693.40x = 11,540.10 × 2,499.80
  4. Step 4: Simplify right side
    7,693.40x = 28,847,941.98
  5. Step 5: Solve for x
    x = 28,847,941.98/7,693.40
  6. Step 6: Final answer
    x = 3,749.70

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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.