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Finding the Fourth Proportional to 8,478.34, 11,695.44 and 5,959.42

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Solution

The fourth proportional to 8,478.34, 11,695.44 and 5,959.42 is: 8,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.34 : 11,695.44 = 5,959.42 : x
  2. Step 2: Convert to fraction form
    8,478.34/11,695.44 = 5,959.42/x
  3. Step 3: Cross multiply
    8,478.34x = 11,695.44 × 5,959.42
  4. Step 4: Simplify right side
    8,478.34x = 69,698,039.04
  5. Step 5: Solve for x
    x = 69,698,039.04/8,478.34
  6. Step 6: Final answer
    x = 8,220.72

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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.