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Finding the Fourth Proportional to 14,483.76, 19,989.09 and 8,198.16

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Solution

The fourth proportional to 14,483.76, 19,989.09 and 8,198.16 is: 11,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.76 : 19,989.09 = 8,198.16 : x
  2. Step 2: Convert to fraction form
    14,483.76/19,989.09 = 8,198.16/x
  3. Step 3: Cross multiply
    14,483.76x = 19,989.09 × 8,198.16
  4. Step 4: Simplify right side
    14,483.76x = 163,873,758.07
  5. Step 5: Solve for x
    x = 163,873,758.07/14,483.76
  6. Step 6: Final answer
    x = 11,314.31

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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.