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Finding the Fourth Proportional to 10,493.54, 15,739.76 and 3,919.20

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Solution

The fourth proportional to 10,493.54, 15,739.76 and 3,919.20 is: 5,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.54 : 15,739.76 = 3,919.20 : x
  2. Step 2: Convert to fraction form
    10,493.54/15,739.76 = 3,919.20/x
  3. Step 3: Cross multiply
    10,493.54x = 15,739.76 × 3,919.20
  4. Step 4: Simplify right side
    10,493.54x = 61,687,247.80
  5. Step 5: Solve for x
    x = 61,687,247.80/10,493.54
  6. Step 6: Final answer
    x = 5,878.60

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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.