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Finding the Fourth Proportional to 8,695.74, 11,955.84 and 7,742.64

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Solution

The fourth proportional to 8,695.74, 11,955.84 and 7,742.64 is: 10,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.74 : 11,955.84 = 7,742.64 : x
  2. Step 2: Convert to fraction form
    8,695.74/11,955.84 = 7,742.64/x
  3. Step 3: Cross multiply
    8,695.74x = 11,955.84 × 7,742.64
  4. Step 4: Simplify right side
    8,695.74x = 92,569,765.02
  5. Step 5: Solve for x
    x = 92,569,765.02/8,695.74
  6. Step 6: Final answer
    x = 10,645.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.