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Finding the Fourth Proportional to 10,507.69, 15,750.90 and 6,812.27

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Solution

The fourth proportional to 10,507.69, 15,750.90 and 6,812.27 is: 10,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.69 : 15,750.90 = 6,812.27 : x
  2. Step 2: Convert to fraction form
    10,507.69/15,750.90 = 6,812.27/x
  3. Step 3: Cross multiply
    10,507.69x = 15,750.90 × 6,812.27
  4. Step 4: Simplify right side
    10,507.69x = 107,299,270.73
  5. Step 5: Solve for x
    x = 107,299,270.73/10,507.69
  6. Step 6: Final answer
    x = 10,211.50

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1.5x scale

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.