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Finding the Fourth Proportional to 35,840.40, 53,722.20 and 13,645.20

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Solution

The fourth proportional to 35,840.40, 53,722.20 and 13,645.20 is: 20,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.40 : 53,722.20 = 13,645.20 : x
  2. Step 2: Convert to fraction form
    35,840.40/53,722.20 = 13,645.20/x
  3. Step 3: Cross multiply
    35,840.40x = 53,722.20 × 13,645.20
  4. Step 4: Simplify right side
    35,840.40x = 733,050,163.44
  5. Step 5: Solve for x
    x = 733,050,163.44/35,840.40
  6. Step 6: Final answer
    x = 20,453.18

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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.