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Finding the Fourth Proportional to 13,027.12, 19,545 and 8,661.76

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Solution

The fourth proportional to 13,027.12, 19,545 and 8,661.76 is: 12,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.12 : 19,545 = 8,661.76 : x
  2. Step 2: Convert to fraction form
    13,027.12/19,545 = 8,661.76/x
  3. Step 3: Cross multiply
    13,027.12x = 19,545 × 8,661.76
  4. Step 4: Simplify right side
    13,027.12x = 169,294,099.20
  5. Step 5: Solve for x
    x = 169,294,099.20/13,027.12
  6. Step 6: Final answer
    x = 12,995.51

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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.