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Finding the Fourth Proportional to 10,361, 15,543.96 and 3,435.50

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Solution

The fourth proportional to 10,361, 15,543.96 and 3,435.50 is: 5,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361 : 15,543.96 = 3,435.50 : x
  2. Step 2: Convert to fraction form
    10,361/15,543.96 = 3,435.50/x
  3. Step 3: Cross multiply
    10,361x = 15,543.96 × 3,435.50
  4. Step 4: Simplify right side
    10,361x = 53,401,274.58
  5. Step 5: Solve for x
    x = 53,401,274.58/10,361
  6. Step 6: Final answer
    x = 5,154.07

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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.