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Finding the Fourth Proportional to 8,489.50, 11,714.97 and 4,712.74

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Solution

The fourth proportional to 8,489.50, 11,714.97 and 4,712.74 is: 6,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.50 : 11,714.97 = 4,712.74 : x
  2. Step 2: Convert to fraction form
    8,489.50/11,714.97 = 4,712.74/x
  3. Step 3: Cross multiply
    8,489.50x = 11,714.97 × 4,712.74
  4. Step 4: Simplify right side
    8,489.50x = 55,209,607.72
  5. Step 5: Solve for x
    x = 55,209,607.72/8,489.50
  6. Step 6: Final answer
    x = 6,503.28

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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.