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Finding the Fourth Proportional to 14,472.60, 19,972.08 and 8,185.20

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Solution

The fourth proportional to 14,472.60, 19,972.08 and 8,185.20 is: 11,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.60 : 19,972.08 = 8,185.20 : x
  2. Step 2: Convert to fraction form
    14,472.60/19,972.08 = 8,185.20/x
  3. Step 3: Cross multiply
    14,472.60x = 19,972.08 × 8,185.20
  4. Step 4: Simplify right side
    14,472.60x = 163,475,469.22
  5. Step 5: Solve for x
    x = 163,475,469.22/14,472.60
  6. Step 6: Final answer
    x = 11,295.51

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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.