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Finding the Fourth Proportional to 2,353.90, 3,530.86 and 892.74

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Solution

The fourth proportional to 2,353.90, 3,530.86 and 892.74 is: 1,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.90 : 3,530.86 = 892.74 : x
  2. Step 2: Convert to fraction form
    2,353.90/3,530.86 = 892.74/x
  3. Step 3: Cross multiply
    2,353.90x = 3,530.86 × 892.74
  4. Step 4: Simplify right side
    2,353.90x = 3,152,139.96
  5. Step 5: Solve for x
    x = 3,152,139.96/2,353.90
  6. Step 6: Final answer
    x = 1,339.11

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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.