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Finding the Fourth Proportional to 7,400.64, 10,213.80 and 4,256.80

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Solution

The fourth proportional to 7,400.64, 10,213.80 and 4,256.80 is: 5,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.64 : 10,213.80 = 4,256.80 : x
  2. Step 2: Convert to fraction form
    7,400.64/10,213.80 = 4,256.80/x
  3. Step 3: Cross multiply
    7,400.64x = 10,213.80 × 4,256.80
  4. Step 4: Simplify right side
    7,400.64x = 43,478,103.84
  5. Step 5: Solve for x
    x = 43,478,103.84/7,400.64
  6. Step 6: Final answer
    x = 5,874.91

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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.