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Finding the Fourth Proportional to 6,518, 8,994.84 and 3,574

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Solution

The fourth proportional to 6,518, 8,994.84 and 3,574 is: 4,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518 : 8,994.84 = 3,574 : x
  2. Step 2: Convert to fraction form
    6,518/8,994.84 = 3,574/x
  3. Step 3: Cross multiply
    6,518x = 8,994.84 × 3,574
  4. Step 4: Simplify right side
    6,518x = 32,147,558.16
  5. Step 5: Solve for x
    x = 32,147,558.16/6,518
  6. Step 6: Final answer
    x = 4,932.12

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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.