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Finding the Fourth Proportional to 8,126, 12,189.04 and 1,970

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Solution

The fourth proportional to 8,126, 12,189.04 and 1,970 is: 2,955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126 : 12,189.04 = 1,970 : x
  2. Step 2: Convert to fraction form
    8,126/12,189.04 = 1,970/x
  3. Step 3: Cross multiply
    8,126x = 12,189.04 × 1,970
  4. Step 4: Simplify right side
    8,126x = 24,012,408.80
  5. Step 5: Solve for x
    x = 24,012,408.80/8,126
  6. Step 6: Final answer
    x = 2,955.01

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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.