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Finding the Fourth Proportional to 8,642.14, 11,923.03 and 5,659.67

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Solution

The fourth proportional to 8,642.14, 11,923.03 and 5,659.67 is: 7,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.14 : 11,923.03 = 5,659.67 : x
  2. Step 2: Convert to fraction form
    8,642.14/11,923.03 = 5,659.67/x
  3. Step 3: Cross multiply
    8,642.14x = 11,923.03 × 5,659.67
  4. Step 4: Simplify right side
    8,642.14x = 67,480,452.08
  5. Step 5: Solve for x
    x = 67,480,452.08/8,642.14
  6. Step 6: Final answer
    x = 7,808.31

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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.