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Finding the Fourth Proportional to 5,821.52, 8,691.50 and 5,116.21

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Solution

The fourth proportional to 5,821.52, 8,691.50 and 5,116.21 is: 7,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.52 : 8,691.50 = 5,116.21 : x
  2. Step 2: Convert to fraction form
    5,821.52/8,691.50 = 5,116.21/x
  3. Step 3: Cross multiply
    5,821.52x = 8,691.50 × 5,116.21
  4. Step 4: Simplify right side
    5,821.52x = 44,467,579.17
  5. Step 5: Solve for x
    x = 44,467,579.17/5,821.52
  6. Step 6: Final answer
    x = 7,638.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.