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Finding the Fourth Proportional to 13,365, 20,048.64 and 3,504.24

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Solution

The fourth proportional to 13,365, 20,048.64 and 3,504.24 is: 5,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 20,048.64 = 3,504.24 : x
  2. Step 2: Convert to fraction form
    13,365/20,048.64 = 3,504.24/x
  3. Step 3: Cross multiply
    13,365x = 20,048.64 × 3,504.24
  4. Step 4: Simplify right side
    13,365x = 70,255,246.23
  5. Step 5: Solve for x
    x = 70,255,246.23/13,365
  6. Step 6: Final answer
    x = 5,256.66

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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.