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Finding the Fourth Proportional to 15,133.86, 20,885 and 8,420.11

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Solution

The fourth proportional to 15,133.86, 20,885 and 8,420.11 is: 11,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.86 : 20,885 = 8,420.11 : x
  2. Step 2: Convert to fraction form
    15,133.86/20,885 = 8,420.11/x
  3. Step 3: Cross multiply
    15,133.86x = 20,885 × 8,420.11
  4. Step 4: Simplify right side
    15,133.86x = 175,853,997.35
  5. Step 5: Solve for x
    x = 175,853,997.35/15,133.86
  6. Step 6: Final answer
    x = 11,619.91

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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.