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Finding the Fourth Proportional to 10,181.63, 15,249.89 and 7,824.29

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Solution

The fourth proportional to 10,181.63, 15,249.89 and 7,824.29 is: 11,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.63 : 15,249.89 = 7,824.29 : x
  2. Step 2: Convert to fraction form
    10,181.63/15,249.89 = 7,824.29/x
  3. Step 3: Cross multiply
    10,181.63x = 15,249.89 × 7,824.29
  4. Step 4: Simplify right side
    10,181.63x = 119,319,522.71
  5. Step 5: Solve for x
    x = 119,319,522.71/10,181.63
  6. Step 6: Final answer
    x = 11,719.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.