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Finding the Fourth Proportional to 12,565.86, 18,848.93 and 3,205.86

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Solution

The fourth proportional to 12,565.86, 18,848.93 and 3,205.86 is: 4,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.86 : 18,848.93 = 3,205.86 : x
  2. Step 2: Convert to fraction form
    12,565.86/18,848.93 = 3,205.86/x
  3. Step 3: Cross multiply
    12,565.86x = 18,848.93 × 3,205.86
  4. Step 4: Simplify right side
    12,565.86x = 60,427,030.73
  5. Step 5: Solve for x
    x = 60,427,030.73/12,565.86
  6. Step 6: Final answer
    x = 4,808.83

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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.