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Finding the Fourth Proportional to 7,866.41, 10,856.70 and 7,202.07

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Solution

The fourth proportional to 7,866.41, 10,856.70 and 7,202.07 is: 9,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.41 : 10,856.70 = 7,202.07 : x
  2. Step 2: Convert to fraction form
    7,866.41/10,856.70 = 7,202.07/x
  3. Step 3: Cross multiply
    7,866.41x = 10,856.70 × 7,202.07
  4. Step 4: Simplify right side
    7,866.41x = 78,190,713.37
  5. Step 5: Solve for x
    x = 78,190,713.37/7,866.41
  6. Step 6: Final answer
    x = 9,939.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.