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Finding the Fourth Proportional to 5,638.74, 8,456.06 and 1,940

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Solution

The fourth proportional to 5,638.74, 8,456.06 and 1,940 is: 2,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.74 : 8,456.06 = 1,940 : x
  2. Step 2: Convert to fraction form
    5,638.74/8,456.06 = 1,940/x
  3. Step 3: Cross multiply
    5,638.74x = 8,456.06 × 1,940
  4. Step 4: Simplify right side
    5,638.74x = 16,404,756.40
  5. Step 5: Solve for x
    x = 16,404,756.40/5,638.74
  6. Step 6: Final answer
    x = 2,909.29

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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.