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Finding the Fourth Proportional to 13,615.16, 20,424.00 and 5,295.81

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Solution

The fourth proportional to 13,615.16, 20,424.00 and 5,295.81 is: 7,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.16 : 20,424.00 = 5,295.81 : x
  2. Step 2: Convert to fraction form
    13,615.16/20,424.00 = 5,295.81/x
  3. Step 3: Cross multiply
    13,615.16x = 20,424.00 × 5,295.81
  4. Step 4: Simplify right side
    13,615.16x = 108,161,636.68
  5. Step 5: Solve for x
    x = 108,161,636.68/13,615.16
  6. Step 6: Final answer
    x = 7,944.20

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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.