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Finding the Fourth Proportional to 7,524.92, 11,207.74 and 7,129.64

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Solution

The fourth proportional to 7,524.92, 11,207.74 and 7,129.64 is: 10,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.92 : 11,207.74 = 7,129.64 : x
  2. Step 2: Convert to fraction form
    7,524.92/11,207.74 = 7,129.64/x
  3. Step 3: Cross multiply
    7,524.92x = 11,207.74 × 7,129.64
  4. Step 4: Simplify right side
    7,524.92x = 79,907,151.41
  5. Step 5: Solve for x
    x = 79,907,151.41/7,524.92
  6. Step 6: Final answer
    x = 10,619.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.