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Finding the Fourth Proportional to 20,565.54, 30,820.64 and 9,447.71

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Solution

The fourth proportional to 20,565.54, 30,820.64 and 9,447.71 is: 14,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.54 : 30,820.64 = 9,447.71 : x
  2. Step 2: Convert to fraction form
    20,565.54/30,820.64 = 9,447.71/x
  3. Step 3: Cross multiply
    20,565.54x = 30,820.64 × 9,447.71
  4. Step 4: Simplify right side
    20,565.54x = 291,184,267.39
  5. Step 5: Solve for x
    x = 291,184,267.39/20,565.54
  6. Step 6: Final answer
    x = 14,158.84

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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.