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Finding the Fourth Proportional to 2,366.35, 3,548.34 and 1,379.50

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Solution

The fourth proportional to 2,366.35, 3,548.34 and 1,379.50 is: 2,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.35 : 3,548.34 = 1,379.50 : x
  2. Step 2: Convert to fraction form
    2,366.35/3,548.34 = 1,379.50/x
  3. Step 3: Cross multiply
    2,366.35x = 3,548.34 × 1,379.50
  4. Step 4: Simplify right side
    2,366.35x = 4,894,926.16
  5. Step 5: Solve for x
    x = 4,894,926.16/2,366.35
  6. Step 6: Final answer
    x = 2,068.56

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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.