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Finding the Fourth Proportional to 7,575.78, 10,452.98 and 4,431.36

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Solution

The fourth proportional to 7,575.78, 10,452.98 and 4,431.36 is: 6,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.78 : 10,452.98 = 4,431.36 : x
  2. Step 2: Convert to fraction form
    7,575.78/10,452.98 = 4,431.36/x
  3. Step 3: Cross multiply
    7,575.78x = 10,452.98 × 4,431.36
  4. Step 4: Simplify right side
    7,575.78x = 46,320,917.45
  5. Step 5: Solve for x
    x = 46,320,917.45/7,575.78
  6. Step 6: Final answer
    x = 6,114.34

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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.