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Finding the Fourth Proportional to 10,590.86, 15,886.40 and 3,195.38

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Solution

The fourth proportional to 10,590.86, 15,886.40 and 3,195.38 is: 4,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.86 : 15,886.40 = 3,195.38 : x
  2. Step 2: Convert to fraction form
    10,590.86/15,886.40 = 3,195.38/x
  3. Step 3: Cross multiply
    10,590.86x = 15,886.40 × 3,195.38
  4. Step 4: Simplify right side
    10,590.86x = 50,762,989.42
  5. Step 5: Solve for x
    x = 50,762,989.42/10,590.86
  6. Step 6: Final answer
    x = 4,793.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.