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Finding the Fourth Proportional to 13,010.64, 19,518 and 4,243.53

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Solution

The fourth proportional to 13,010.64, 19,518 and 4,243.53 is: 6,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.64 : 19,518 = 4,243.53 : x
  2. Step 2: Convert to fraction form
    13,010.64/19,518 = 4,243.53/x
  3. Step 3: Cross multiply
    13,010.64x = 19,518 × 4,243.53
  4. Step 4: Simplify right side
    13,010.64x = 82,825,218.54
  5. Step 5: Solve for x
    x = 82,825,218.54/13,010.64
  6. Step 6: Final answer
    x = 6,365.96

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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.