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Finding the Fourth Proportional to 10,172, 15,258.09 and 3,599.30

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Solution

The fourth proportional to 10,172, 15,258.09 and 3,599.30 is: 5,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172 : 15,258.09 = 3,599.30 : x
  2. Step 2: Convert to fraction form
    10,172/15,258.09 = 3,599.30/x
  3. Step 3: Cross multiply
    10,172x = 15,258.09 × 3,599.30
  4. Step 4: Simplify right side
    10,172x = 54,918,443.34
  5. Step 5: Solve for x
    x = 54,918,443.34/10,172
  6. Step 6: Final answer
    x = 5,398.98

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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.