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Finding the Fourth Proportional to 6,518.94, 8,996.50 and 3,686.42

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Solution

The fourth proportional to 6,518.94, 8,996.50 and 3,686.42 is: 5,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.94 : 8,996.50 = 3,686.42 : x
  2. Step 2: Convert to fraction form
    6,518.94/8,996.50 = 3,686.42/x
  3. Step 3: Cross multiply
    6,518.94x = 8,996.50 × 3,686.42
  4. Step 4: Simplify right side
    6,518.94x = 33,164,877.53
  5. Step 5: Solve for x
    x = 33,164,877.53/6,518.94
  6. Step 6: Final answer
    x = 5,087.46

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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.