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Finding the Fourth Proportional to 5,092.96, 7,640.32 and 1,630

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Solution

The fourth proportional to 5,092.96, 7,640.32 and 1,630 is: 2,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.96 : 7,640.32 = 1,630 : x
  2. Step 2: Convert to fraction form
    5,092.96/7,640.32 = 1,630/x
  3. Step 3: Cross multiply
    5,092.96x = 7,640.32 × 1,630
  4. Step 4: Simplify right side
    5,092.96x = 12,453,721.60
  5. Step 5: Solve for x
    x = 12,453,721.60/5,092.96
  6. Step 6: Final answer
    x = 2,445.28

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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.