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Finding the Fourth Proportional to 5,342.84, 8,013.64 and 1,447.54

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Solution

The fourth proportional to 5,342.84, 8,013.64 and 1,447.54 is: 2,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.84 : 8,013.64 = 1,447.54 : x
  2. Step 2: Convert to fraction form
    5,342.84/8,013.64 = 1,447.54/x
  3. Step 3: Cross multiply
    5,342.84x = 8,013.64 × 1,447.54
  4. Step 4: Simplify right side
    5,342.84x = 11,600,064.45
  5. Step 5: Solve for x
    x = 11,600,064.45/5,342.84
  6. Step 6: Final answer
    x = 2,171.14

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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.