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Finding the Fourth Proportional to 3,451.84, 5,176.20 and 986.07

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Solution

The fourth proportional to 3,451.84, 5,176.20 and 986.07 is: 1,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.84 : 5,176.20 = 986.07 : x
  2. Step 2: Convert to fraction form
    3,451.84/5,176.20 = 986.07/x
  3. Step 3: Cross multiply
    3,451.84x = 5,176.20 × 986.07
  4. Step 4: Simplify right side
    3,451.84x = 5,104,095.53
  5. Step 5: Solve for x
    x = 5,104,095.53/3,451.84
  6. Step 6: Final answer
    x = 1,478.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.