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Finding the Fourth Proportional to 14,447.52, 19,936.16 and 8,158.68

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Solution

The fourth proportional to 14,447.52, 19,936.16 and 8,158.68 is: 11,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.52 : 19,936.16 = 8,158.68 : x
  2. Step 2: Convert to fraction form
    14,447.52/19,936.16 = 8,158.68/x
  3. Step 3: Cross multiply
    14,447.52x = 19,936.16 × 8,158.68
  4. Step 4: Simplify right side
    14,447.52x = 162,652,749.87
  5. Step 5: Solve for x
    x = 162,652,749.87/14,447.52
  6. Step 6: Final answer
    x = 11,258.18

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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.