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Finding the Fourth Proportional to 15,077.89, 20,805.69 and 8,362.18

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Solution

The fourth proportional to 15,077.89, 20,805.69 and 8,362.18 is: 11,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.89 : 20,805.69 = 8,362.18 : x
  2. Step 2: Convert to fraction form
    15,077.89/20,805.69 = 8,362.18/x
  3. Step 3: Cross multiply
    15,077.89x = 20,805.69 × 8,362.18
  4. Step 4: Simplify right side
    15,077.89x = 173,980,924.80
  5. Step 5: Solve for x
    x = 173,980,924.80/15,077.89
  6. Step 6: Final answer
    x = 11,538.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.