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Finding the Fourth Proportional to 14,451.65, 19,942.86 and 8,078.25

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Solution

The fourth proportional to 14,451.65, 19,942.86 and 8,078.25 is: 11,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.65 : 19,942.86 = 8,078.25 : x
  2. Step 2: Convert to fraction form
    14,451.65/19,942.86 = 8,078.25/x
  3. Step 3: Cross multiply
    14,451.65x = 19,942.86 × 8,078.25
  4. Step 4: Simplify right side
    14,451.65x = 161,103,368.40
  5. Step 5: Solve for x
    x = 161,103,368.40/14,451.65
  6. Step 6: Final answer
    x = 11,147.75

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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.