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Finding the Fourth Proportional to 15,778.86, 21,774.15 and 8,705.13

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Solution

The fourth proportional to 15,778.86, 21,774.15 and 8,705.13 is: 12,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.86 : 21,774.15 = 8,705.13 : x
  2. Step 2: Convert to fraction form
    15,778.86/21,774.15 = 8,705.13/x
  3. Step 3: Cross multiply
    15,778.86x = 21,774.15 × 8,705.13
  4. Step 4: Simplify right side
    15,778.86x = 189,546,806.39
  5. Step 5: Solve for x
    x = 189,546,806.39/15,778.86
  6. Step 6: Final answer
    x = 12,012.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.