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Finding the Fourth Proportional to 15,050, 20,769.04 and 8,426

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Solution

The fourth proportional to 15,050, 20,769.04 and 8,426 is: 11,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,050 : 20,769.04 = 8,426 : x
  2. Step 2: Convert to fraction form
    15,050/20,769.04 = 8,426/x
  3. Step 3: Cross multiply
    15,050x = 20,769.04 × 8,426
  4. Step 4: Simplify right side
    15,050x = 174,999,931.04
  5. Step 5: Solve for x
    x = 174,999,931.04/15,050
  6. Step 6: Final answer
    x = 11,627.90

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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.