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Finding the Fourth Proportional to 15,997.78, 22,078.47 and 8,924.86

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Solution

The fourth proportional to 15,997.78, 22,078.47 and 8,924.86 is: 12,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.78 : 22,078.47 = 8,924.86 : x
  2. Step 2: Convert to fraction form
    15,997.78/22,078.47 = 8,924.86/x
  3. Step 3: Cross multiply
    15,997.78x = 22,078.47 × 8,924.86
  4. Step 4: Simplify right side
    15,997.78x = 197,047,253.76
  5. Step 5: Solve for x
    x = 197,047,253.76/15,997.78
  6. Step 6: Final answer
    x = 12,317.16

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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.