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Finding the Fourth Proportional to 10,353, 15,530.96 and 3,330.66

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Solution

The fourth proportional to 10,353, 15,530.96 and 3,330.66 is: 4,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353 : 15,530.96 = 3,330.66 : x
  2. Step 2: Convert to fraction form
    10,353/15,530.96 = 3,330.66/x
  3. Step 3: Cross multiply
    10,353x = 15,530.96 × 3,330.66
  4. Step 4: Simplify right side
    10,353x = 51,728,347.23
  5. Step 5: Solve for x
    x = 51,728,347.23/10,353
  6. Step 6: Final answer
    x = 4,996.46

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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.