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Finding the Fourth Proportional to 10,126, 15,191.70 and 3,200.50

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Solution

The fourth proportional to 10,126, 15,191.70 and 3,200.50 is: 4,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 15,191.70 = 3,200.50 : x
  2. Step 2: Convert to fraction form
    10,126/15,191.70 = 3,200.50/x
  3. Step 3: Cross multiply
    10,126x = 15,191.70 × 3,200.50
  4. Step 4: Simplify right side
    10,126x = 48,621,035.85
  5. Step 5: Solve for x
    x = 48,621,035.85/10,126
  6. Step 6: Final answer
    x = 4,801.60

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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.