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Finding the Fourth Proportional to 14,243.40, 19,654.19 and 8,578.05

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Solution

The fourth proportional to 14,243.40, 19,654.19 and 8,578.05 is: 11,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.40 : 19,654.19 = 8,578.05 : x
  2. Step 2: Convert to fraction form
    14,243.40/19,654.19 = 8,578.05/x
  3. Step 3: Cross multiply
    14,243.40x = 19,654.19 × 8,578.05
  4. Step 4: Simplify right side
    14,243.40x = 168,594,581.64
  5. Step 5: Solve for x
    x = 168,594,581.64/14,243.40
  6. Step 6: Final answer
    x = 11,836.68

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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.