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Finding the Fourth Proportional to 20,509.86, 30,765.06 and 5,718.42

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Solution

The fourth proportional to 20,509.86, 30,765.06 and 5,718.42 is: 8,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.86 : 30,765.06 = 5,718.42 : x
  2. Step 2: Convert to fraction form
    20,509.86/30,765.06 = 5,718.42/x
  3. Step 3: Cross multiply
    20,509.86x = 30,765.06 × 5,718.42
  4. Step 4: Simplify right side
    20,509.86x = 175,927,534.41
  5. Step 5: Solve for x
    x = 175,927,534.41/20,509.86
  6. Step 6: Final answer
    x = 8,577.71

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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.