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Finding the Fourth Proportional to 11,657.86, 17,491.11 and 5,421.22

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Solution

The fourth proportional to 11,657.86, 17,491.11 and 5,421.22 is: 8,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.86 : 17,491.11 = 5,421.22 : x
  2. Step 2: Convert to fraction form
    11,657.86/17,491.11 = 5,421.22/x
  3. Step 3: Cross multiply
    11,657.86x = 17,491.11 × 5,421.22
  4. Step 4: Simplify right side
    11,657.86x = 94,823,155.35
  5. Step 5: Solve for x
    x = 94,823,155.35/11,657.86
  6. Step 6: Final answer
    x = 8,133.84

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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.