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Finding the Fourth Proportional to 14,405.54, 19,878.09 and 8,815.46

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Solution

The fourth proportional to 14,405.54, 19,878.09 and 8,815.46 is: 12,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.54 : 19,878.09 = 8,815.46 : x
  2. Step 2: Convert to fraction form
    14,405.54/19,878.09 = 8,815.46/x
  3. Step 3: Cross multiply
    14,405.54x = 19,878.09 × 8,815.46
  4. Step 4: Simplify right side
    14,405.54x = 175,234,507.27
  5. Step 5: Solve for x
    x = 175,234,507.27/14,405.54
  6. Step 6: Final answer
    x = 12,164.38

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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.