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Finding the Fourth Proportional to 13,246.81, 19,865.82 and 5,347.28

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Solution

The fourth proportional to 13,246.81, 19,865.82 and 5,347.28 is: 8,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.81 : 19,865.82 = 5,347.28 : x
  2. Step 2: Convert to fraction form
    13,246.81/19,865.82 = 5,347.28/x
  3. Step 3: Cross multiply
    13,246.81x = 19,865.82 × 5,347.28
  4. Step 4: Simplify right side
    13,246.81x = 106,228,101.97
  5. Step 5: Solve for x
    x = 106,228,101.97/13,246.81
  6. Step 6: Final answer
    x = 8,019.15

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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.