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Finding the Fourth Proportional to 13,800.25, 19,046.51 and 8,214.49

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Solution

The fourth proportional to 13,800.25, 19,046.51 and 8,214.49 is: 11,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.25 : 19,046.51 = 8,214.49 : x
  2. Step 2: Convert to fraction form
    13,800.25/19,046.51 = 8,214.49/x
  3. Step 3: Cross multiply
    13,800.25x = 19,046.51 × 8,214.49
  4. Step 4: Simplify right side
    13,800.25x = 156,457,365.93
  5. Step 5: Solve for x
    x = 156,457,365.93/13,800.25
  6. Step 6: Final answer
    x = 11,337.28

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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.