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Finding the Fourth Proportional to 9,636, 13,297.68 and 5,220

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Solution

The fourth proportional to 9,636, 13,297.68 and 5,220 is: 7,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636 : 13,297.68 = 5,220 : x
  2. Step 2: Convert to fraction form
    9,636/13,297.68 = 5,220/x
  3. Step 3: Cross multiply
    9,636x = 13,297.68 × 5,220
  4. Step 4: Simplify right side
    9,636x = 69,413,889.60
  5. Step 5: Solve for x
    x = 69,413,889.60/9,636
  6. Step 6: Final answer
    x = 7,203.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.