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Finding the Fourth Proportional to 8,469.64, 11,689.74 and 4,886.91

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Solution

The fourth proportional to 8,469.64, 11,689.74 and 4,886.91 is: 6,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.64 : 11,689.74 = 4,886.91 : x
  2. Step 2: Convert to fraction form
    8,469.64/11,689.74 = 4,886.91/x
  3. Step 3: Cross multiply
    8,469.64x = 11,689.74 × 4,886.91
  4. Step 4: Simplify right side
    8,469.64x = 57,126,707.30
  5. Step 5: Solve for x
    x = 57,126,707.30/8,469.64
  6. Step 6: Final answer
    x = 6,744.88

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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.