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Finding the Fourth Proportional to 11,417, 15,765.48 and 7,175.41

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Solution

The fourth proportional to 11,417, 15,765.48 and 7,175.41 is: 9,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417 : 15,765.48 = 7,175.41 : x
  2. Step 2: Convert to fraction form
    11,417/15,765.48 = 7,175.41/x
  3. Step 3: Cross multiply
    11,417x = 15,765.48 × 7,175.41
  4. Step 4: Simplify right side
    11,417x = 113,123,782.85
  5. Step 5: Solve for x
    x = 113,123,782.85/11,417
  6. Step 6: Final answer
    x = 9,908.36

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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.