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Finding the Fourth Proportional to 11,630.70, 17,445.91 and 2,865.70

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Solution

The fourth proportional to 11,630.70, 17,445.91 and 2,865.70 is: 4,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.70 : 17,445.91 = 2,865.70 : x
  2. Step 2: Convert to fraction form
    11,630.70/17,445.91 = 2,865.70/x
  3. Step 3: Cross multiply
    11,630.70x = 17,445.91 × 2,865.70
  4. Step 4: Simplify right side
    11,630.70x = 49,994,744.29
  5. Step 5: Solve for x
    x = 49,994,744.29/11,630.70
  6. Step 6: Final answer
    x = 4,298.52

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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.