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Finding the Fourth Proportional to 3,690.84, 5,531.04 and 3,140.84

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Solution

The fourth proportional to 3,690.84, 5,531.04 and 3,140.84 is: 4,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.84 : 5,531.04 = 3,140.84 : x
  2. Step 2: Convert to fraction form
    3,690.84/5,531.04 = 3,140.84/x
  3. Step 3: Cross multiply
    3,690.84x = 5,531.04 × 3,140.84
  4. Step 4: Simplify right side
    3,690.84x = 17,372,111.67
  5. Step 5: Solve for x
    x = 17,372,111.67/3,690.84
  6. Step 6: Final answer
    x = 4,706.82

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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.