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Finding the Fourth Proportional to 8,828, 12,182.76 and 5,684.48

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Solution

The fourth proportional to 8,828, 12,182.76 and 5,684.48 is: 7,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828 : 12,182.76 = 5,684.48 : x
  2. Step 2: Convert to fraction form
    8,828/12,182.76 = 5,684.48/x
  3. Step 3: Cross multiply
    8,828x = 12,182.76 × 5,684.48
  4. Step 4: Simplify right side
    8,828x = 69,252,655.56
  5. Step 5: Solve for x
    x = 69,252,655.56/8,828
  6. Step 6: Final answer
    x = 7,844.66

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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.