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Finding the Fourth Proportional to 20,515, 30,776.84 and 6,665.08

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Solution

The fourth proportional to 20,515, 30,776.84 and 6,665.08 is: 9,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515 : 30,776.84 = 6,665.08 : x
  2. Step 2: Convert to fraction form
    20,515/30,776.84 = 6,665.08/x
  3. Step 3: Cross multiply
    20,515x = 30,776.84 × 6,665.08
  4. Step 4: Simplify right side
    20,515x = 205,130,100.75
  5. Step 5: Solve for x
    x = 205,130,100.75/20,515
  6. Step 6: Final answer
    x = 9,999.03

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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.