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Finding the Fourth Proportional to 10,656.24, 15,984.48 and 2,865.12

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Solution

The fourth proportional to 10,656.24, 15,984.48 and 2,865.12 is: 4,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.24 : 15,984.48 = 2,865.12 : x
  2. Step 2: Convert to fraction form
    10,656.24/15,984.48 = 2,865.12/x
  3. Step 3: Cross multiply
    10,656.24x = 15,984.48 × 2,865.12
  4. Step 4: Simplify right side
    10,656.24x = 45,797,453.34
  5. Step 5: Solve for x
    x = 45,797,453.34/10,656.24
  6. Step 6: Final answer
    x = 4,297.71

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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.