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Finding the Fourth Proportional to 13,536.52, 20,302.74 and 5,220.46

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Solution

The fourth proportional to 13,536.52, 20,302.74 and 5,220.46 is: 7,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.52 : 20,302.74 = 5,220.46 : x
  2. Step 2: Convert to fraction form
    13,536.52/20,302.74 = 5,220.46/x
  3. Step 3: Cross multiply
    13,536.52x = 20,302.74 × 5,220.46
  4. Step 4: Simplify right side
    13,536.52x = 105,989,642.06
  5. Step 5: Solve for x
    x = 105,989,642.06/13,536.52
  6. Step 6: Final answer
    x = 7,829.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.