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Finding the Fourth Proportional to 5,375.84, 8,062.83 and 1,427.13

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Solution

The fourth proportional to 5,375.84, 8,062.83 and 1,427.13 is: 2,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.84 : 8,062.83 = 1,427.13 : x
  2. Step 2: Convert to fraction form
    5,375.84/8,062.83 = 1,427.13/x
  3. Step 3: Cross multiply
    5,375.84x = 8,062.83 × 1,427.13
  4. Step 4: Simplify right side
    5,375.84x = 11,506,706.58
  5. Step 5: Solve for x
    x = 11,506,706.58/5,375.84
  6. Step 6: Final answer
    x = 2,140.45

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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.