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Finding the Fourth Proportional to 11,420.69, 15,764.91 and 7,442.78

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Solution

The fourth proportional to 11,420.69, 15,764.91 and 7,442.78 is: 10,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.69 : 15,764.91 = 7,442.78 : x
  2. Step 2: Convert to fraction form
    11,420.69/15,764.91 = 7,442.78/x
  3. Step 3: Cross multiply
    11,420.69x = 15,764.91 × 7,442.78
  4. Step 4: Simplify right side
    11,420.69x = 117,334,756.85
  5. Step 5: Solve for x
    x = 117,334,756.85/11,420.69
  6. Step 6: Final answer
    x = 10,273.88

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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.