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Finding the Fourth Proportional to 6,509.82, 8,981.95 and 4,119.61

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Solution

The fourth proportional to 6,509.82, 8,981.95 and 4,119.61 is: 5,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.82 : 8,981.95 = 4,119.61 : x
  2. Step 2: Convert to fraction form
    6,509.82/8,981.95 = 4,119.61/x
  3. Step 3: Cross multiply
    6,509.82x = 8,981.95 × 4,119.61
  4. Step 4: Simplify right side
    6,509.82x = 37,002,131.04
  5. Step 5: Solve for x
    x = 37,002,131.04/6,509.82
  6. Step 6: Final answer
    x = 5,684.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.