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Finding the Fourth Proportional to 7,544, 10,412.80 and 4,400.80

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Solution

The fourth proportional to 7,544, 10,412.80 and 4,400.80 is: 6,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 10,412.80 = 4,400.80 : x
  2. Step 2: Convert to fraction form
    7,544/10,412.80 = 4,400.80/x
  3. Step 3: Cross multiply
    7,544x = 10,412.80 × 4,400.80
  4. Step 4: Simplify right side
    7,544x = 45,824,650.24
  5. Step 5: Solve for x
    x = 45,824,650.24/7,544
  6. Step 6: Final answer
    x = 6,074.32

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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.