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Finding the Fourth Proportional to 10,417.42, 15,611.54 and 7,481.98

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Solution

The fourth proportional to 10,417.42, 15,611.54 and 7,481.98 is: 11,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.42 : 15,611.54 = 7,481.98 : x
  2. Step 2: Convert to fraction form
    10,417.42/15,611.54 = 7,481.98/x
  3. Step 3: Cross multiply
    10,417.42x = 15,611.54 × 7,481.98
  4. Step 4: Simplify right side
    10,417.42x = 116,805,209.73
  5. Step 5: Solve for x
    x = 116,805,209.73/10,417.42
  6. Step 6: Final answer
    x = 11,212.49

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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.