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Finding the Fourth Proportional to 15,524.65, 21,423.72 and 8,451.06

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Solution

The fourth proportional to 15,524.65, 21,423.72 and 8,451.06 is: 11,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.65 : 21,423.72 = 8,451.06 : x
  2. Step 2: Convert to fraction form
    15,524.65/21,423.72 = 8,451.06/x
  3. Step 3: Cross multiply
    15,524.65x = 21,423.72 × 8,451.06
  4. Step 4: Simplify right side
    15,524.65x = 181,053,143.14
  5. Step 5: Solve for x
    x = 181,053,143.14/15,524.65
  6. Step 6: Final answer
    x = 11,662.30

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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.