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Finding the Fourth Proportional to 26,885.56, 40,328.34 and 8,419

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Solution

The fourth proportional to 26,885.56, 40,328.34 and 8,419 is: 12,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,885.56 : 40,328.34 = 8,419 : x
  2. Step 2: Convert to fraction form
    26,885.56/40,328.34 = 8,419/x
  3. Step 3: Cross multiply
    26,885.56x = 40,328.34 × 8,419
  4. Step 4: Simplify right side
    26,885.56x = 339,524,294.46
  5. Step 5: Solve for x
    x = 339,524,294.46/26,885.56
  6. Step 6: Final answer
    x = 12,628.50

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1.5x scale

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.