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Finding the Fourth Proportional to 8,919.74, 12,309.06 and 5,142.68

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Solution

The fourth proportional to 8,919.74, 12,309.06 and 5,142.68 is: 7,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.74 : 12,309.06 = 5,142.68 : x
  2. Step 2: Convert to fraction form
    8,919.74/12,309.06 = 5,142.68/x
  3. Step 3: Cross multiply
    8,919.74x = 12,309.06 × 5,142.68
  4. Step 4: Simplify right side
    8,919.74x = 63,301,556.68
  5. Step 5: Solve for x
    x = 63,301,556.68/8,919.74
  6. Step 6: Final answer
    x = 7,096.79

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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.