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Finding the Fourth Proportional to 15,781.85, 21,778.84 and 8,975.86

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Solution

The fourth proportional to 15,781.85, 21,778.84 and 8,975.86 is: 12,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.85 : 21,778.84 = 8,975.86 : x
  2. Step 2: Convert to fraction form
    15,781.85/21,778.84 = 8,975.86/x
  3. Step 3: Cross multiply
    15,781.85x = 21,778.84 × 8,975.86
  4. Step 4: Simplify right side
    15,781.85x = 195,483,898.08
  5. Step 5: Solve for x
    x = 195,483,898.08/15,781.85
  6. Step 6: Final answer
    x = 12,386.62

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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.