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Finding the Fourth Proportional to 3,705.74, 5,557.36 and 1,239.88

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Solution

The fourth proportional to 3,705.74, 5,557.36 and 1,239.88 is: 1,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.74 : 5,557.36 = 1,239.88 : x
  2. Step 2: Convert to fraction form
    3,705.74/5,557.36 = 1,239.88/x
  3. Step 3: Cross multiply
    3,705.74x = 5,557.36 × 1,239.88
  4. Step 4: Simplify right side
    3,705.74x = 6,890,459.52
  5. Step 5: Solve for x
    x = 6,890,459.52/3,705.74
  6. Step 6: Final answer
    x = 1,859.40

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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.