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Finding the Fourth Proportional to 20,592.12, 30,879 and 6,549.51

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Solution

The fourth proportional to 20,592.12, 30,879 and 6,549.51 is: 9,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.12 : 30,879 = 6,549.51 : x
  2. Step 2: Convert to fraction form
    20,592.12/30,879 = 6,549.51/x
  3. Step 3: Cross multiply
    20,592.12x = 30,879 × 6,549.51
  4. Step 4: Simplify right side
    20,592.12x = 202,242,319.29
  5. Step 5: Solve for x
    x = 202,242,319.29/20,592.12
  6. Step 6: Final answer
    x = 9,821.35

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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.