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Finding the Fourth Proportional to 13,214.40, 19,804.80 and 5,414.40

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Solution

The fourth proportional to 13,214.40, 19,804.80 and 5,414.40 is: 8,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.40 : 19,804.80 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    13,214.40/19,804.80 = 5,414.40/x
  3. Step 3: Cross multiply
    13,214.40x = 19,804.80 × 5,414.40
  4. Step 4: Simplify right side
    13,214.40x = 107,231,109.12
  5. Step 5: Solve for x
    x = 107,231,109.12/13,214.40
  6. Step 6: Final answer
    x = 8,114.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.