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Finding the Fourth Proportional to 20,980.65, 31,460.14 and 6,187.69

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Solution

The fourth proportional to 20,980.65, 31,460.14 and 6,187.69 is: 9,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.65 : 31,460.14 = 6,187.69 : x
  2. Step 2: Convert to fraction form
    20,980.65/31,460.14 = 6,187.69/x
  3. Step 3: Cross multiply
    20,980.65x = 31,460.14 × 6,187.69
  4. Step 4: Simplify right side
    20,980.65x = 194,665,593.68
  5. Step 5: Solve for x
    x = 194,665,593.68/20,980.65
  6. Step 6: Final answer
    x = 9,278.34

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1.5x scale

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.