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Finding the Fourth Proportional to 11,503, 17,258.55 and 5,663.71

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Solution

The fourth proportional to 11,503, 17,258.55 and 5,663.71 is: 8,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503 : 17,258.55 = 5,663.71 : x
  2. Step 2: Convert to fraction form
    11,503/17,258.55 = 5,663.71/x
  3. Step 3: Cross multiply
    11,503x = 17,258.55 × 5,663.71
  4. Step 4: Simplify right side
    11,503x = 97,747,422.22
  5. Step 5: Solve for x
    x = 97,747,422.22/11,503
  6. Step 6: Final answer
    x = 8,497.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.