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Finding the Fourth Proportional to 9,686, 13,366.68 and 5,270

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Solution

The fourth proportional to 9,686, 13,366.68 and 5,270 is: 7,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686 : 13,366.68 = 5,270 : x
  2. Step 2: Convert to fraction form
    9,686/13,366.68 = 5,270/x
  3. Step 3: Cross multiply
    9,686x = 13,366.68 × 5,270
  4. Step 4: Simplify right side
    9,686x = 70,442,403.60
  5. Step 5: Solve for x
    x = 70,442,403.60/9,686
  6. Step 6: Final answer
    x = 7,272.60

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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.