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Finding the Fourth Proportional to 15,202.61, 20,975.72 and 9,234.38

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Solution

The fourth proportional to 15,202.61, 20,975.72 and 9,234.38 is: 12,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.61 : 20,975.72 = 9,234.38 : x
  2. Step 2: Convert to fraction form
    15,202.61/20,975.72 = 9,234.38/x
  3. Step 3: Cross multiply
    15,202.61x = 20,975.72 × 9,234.38
  4. Step 4: Simplify right side
    15,202.61x = 193,697,781.46
  5. Step 5: Solve for x
    x = 193,697,781.46/15,202.61
  6. Step 6: Final answer
    x = 12,741.09

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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.