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Finding the Fourth Proportional to 20,570.67, 30,856.05 and 7,432.32

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Solution

The fourth proportional to 20,570.67, 30,856.05 and 7,432.32 is: 11,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.67 : 30,856.05 = 7,432.32 : x
  2. Step 2: Convert to fraction form
    20,570.67/30,856.05 = 7,432.32/x
  3. Step 3: Cross multiply
    20,570.67x = 30,856.05 × 7,432.32
  4. Step 4: Simplify right side
    20,570.67x = 229,332,037.54
  5. Step 5: Solve for x
    x = 229,332,037.54/20,570.67
  6. Step 6: Final answer
    x = 11,148.50

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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.