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Finding the Fourth Proportional to 10,486.72, 15,728.64 and 3,560.32

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Solution

The fourth proportional to 10,486.72, 15,728.64 and 3,560.32 is: 5,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.72 : 15,728.64 = 3,560.32 : x
  2. Step 2: Convert to fraction form
    10,486.72/15,728.64 = 3,560.32/x
  3. Step 3: Cross multiply
    10,486.72x = 15,728.64 × 3,560.32
  4. Step 4: Simplify right side
    10,486.72x = 55,998,991.56
  5. Step 5: Solve for x
    x = 55,998,991.56/10,486.72
  6. Step 6: Final answer
    x = 5,339.99

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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.