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Finding the Fourth Proportional to 20,590.92, 30,889 and 5,598.35

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Solution

The fourth proportional to 20,590.92, 30,889 and 5,598.35 is: 8,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.92 : 30,889 = 5,598.35 : x
  2. Step 2: Convert to fraction form
    20,590.92/30,889 = 5,598.35/x
  3. Step 3: Cross multiply
    20,590.92x = 30,889 × 5,598.35
  4. Step 4: Simplify right side
    20,590.92x = 172,927,433.15
  5. Step 5: Solve for x
    x = 172,927,433.15/20,590.92
  6. Step 6: Final answer
    x = 8,398.24

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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.