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Finding the Fourth Proportional to 13,394.71, 20,090.65 and 5,498.06

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Solution

The fourth proportional to 13,394.71, 20,090.65 and 5,498.06 is: 8,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.71 : 20,090.65 = 5,498.06 : x
  2. Step 2: Convert to fraction form
    13,394.71/20,090.65 = 5,498.06/x
  3. Step 3: Cross multiply
    13,394.71x = 20,090.65 × 5,498.06
  4. Step 4: Simplify right side
    13,394.71x = 110,459,500.31
  5. Step 5: Solve for x
    x = 110,459,500.31/13,394.71
  6. Step 6: Final answer
    x = 8,246.50

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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.