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Finding the Fourth Proportional to 10,278.52, 15,420.18 and 3,353

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Solution

The fourth proportional to 10,278.52, 15,420.18 and 3,353 is: 5,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.52 : 15,420.18 = 3,353 : x
  2. Step 2: Convert to fraction form
    10,278.52/15,420.18 = 3,353/x
  3. Step 3: Cross multiply
    10,278.52x = 15,420.18 × 3,353
  4. Step 4: Simplify right side
    10,278.52x = 51,703,863.54
  5. Step 5: Solve for x
    x = 51,703,863.54/10,278.52
  6. Step 6: Final answer
    x = 5,030.28

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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.