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Finding the Fourth Proportional to 15,924.93, 21,976.24 and 8,851.20

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Solution

The fourth proportional to 15,924.93, 21,976.24 and 8,851.20 is: 12,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.93 : 21,976.24 = 8,851.20 : x
  2. Step 2: Convert to fraction form
    15,924.93/21,976.24 = 8,851.20/x
  3. Step 3: Cross multiply
    15,924.93x = 21,976.24 × 8,851.20
  4. Step 4: Simplify right side
    15,924.93x = 194,516,095.49
  5. Step 5: Solve for x
    x = 194,516,095.49/15,924.93
  6. Step 6: Final answer
    x = 12,214.57

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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.