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Finding the Fourth Proportional to 20,565.86, 30,824.07 and 7,402.86

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Solution

The fourth proportional to 20,565.86, 30,824.07 and 7,402.86 is: 11,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.86 : 30,824.07 = 7,402.86 : x
  2. Step 2: Convert to fraction form
    20,565.86/30,824.07 = 7,402.86/x
  3. Step 3: Cross multiply
    20,565.86x = 30,824.07 × 7,402.86
  4. Step 4: Simplify right side
    20,565.86x = 228,186,274.84
  5. Step 5: Solve for x
    x = 228,186,274.84/20,565.86
  6. Step 6: Final answer
    x = 11,095.39

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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.