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Finding the Fourth Proportional to 14,485.52, 19,982.36 and 8,822

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Solution

The fourth proportional to 14,485.52, 19,982.36 and 8,822 is: 12,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.52 : 19,982.36 = 8,822 : x
  2. Step 2: Convert to fraction form
    14,485.52/19,982.36 = 8,822/x
  3. Step 3: Cross multiply
    14,485.52x = 19,982.36 × 8,822
  4. Step 4: Simplify right side
    14,485.52x = 176,284,379.92
  5. Step 5: Solve for x
    x = 176,284,379.92/14,485.52
  6. Step 6: Final answer
    x = 12,169.70

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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.