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Finding the Fourth Proportional to 6,512.76, 8,985.42 and 3,679.74

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Solution

The fourth proportional to 6,512.76, 8,985.42 and 3,679.74 is: 5,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.76 : 8,985.42 = 3,679.74 : x
  2. Step 2: Convert to fraction form
    6,512.76/8,985.42 = 3,679.74/x
  3. Step 3: Cross multiply
    6,512.76x = 8,985.42 × 3,679.74
  4. Step 4: Simplify right side
    6,512.76x = 33,064,009.39
  5. Step 5: Solve for x
    x = 33,064,009.39/6,512.76
  6. Step 6: Final answer
    x = 5,076.80

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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.