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Finding the Fourth Proportional to 10,681.86, 16,000.44 and 8,590.56

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Solution

The fourth proportional to 10,681.86, 16,000.44 and 8,590.56 is: 12,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.86 : 16,000.44 = 8,590.56 : x
  2. Step 2: Convert to fraction form
    10,681.86/16,000.44 = 8,590.56/x
  3. Step 3: Cross multiply
    10,681.86x = 16,000.44 × 8,590.56
  4. Step 4: Simplify right side
    10,681.86x = 137,452,739.85
  5. Step 5: Solve for x
    x = 137,452,739.85/10,681.86
  6. Step 6: Final answer
    x = 12,867.87

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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.