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Finding the Fourth Proportional to 6,519.84, 8,995.14 and 3,686.88

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Solution

The fourth proportional to 6,519.84, 8,995.14 and 3,686.88 is: 5,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.84 : 8,995.14 = 3,686.88 : x
  2. Step 2: Convert to fraction form
    6,519.84/8,995.14 = 3,686.88/x
  3. Step 3: Cross multiply
    6,519.84x = 8,995.14 × 3,686.88
  4. Step 4: Simplify right side
    6,519.84x = 33,164,001.76
  5. Step 5: Solve for x
    x = 33,164,001.76/6,519.84
  6. Step 6: Final answer
    x = 5,086.63

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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.