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Finding the Fourth Proportional to 3,866.68, 5,802.36 and 1,558

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Solution

The fourth proportional to 3,866.68, 5,802.36 and 1,558 is: 2,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.68 : 5,802.36 = 1,558 : x
  2. Step 2: Convert to fraction form
    3,866.68/5,802.36 = 1,558/x
  3. Step 3: Cross multiply
    3,866.68x = 5,802.36 × 1,558
  4. Step 4: Simplify right side
    3,866.68x = 9,040,076.88
  5. Step 5: Solve for x
    x = 9,040,076.88/3,866.68
  6. Step 6: Final answer
    x = 2,337.94

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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.