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Finding the Fourth Proportional to 9,209, 12,708.56 and 5,017.25

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Solution

The fourth proportional to 9,209, 12,708.56 and 5,017.25 is: 6,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209 : 12,708.56 = 5,017.25 : x
  2. Step 2: Convert to fraction form
    9,209/12,708.56 = 5,017.25/x
  3. Step 3: Cross multiply
    9,209x = 12,708.56 × 5,017.25
  4. Step 4: Simplify right side
    9,209x = 63,762,022.66
  5. Step 5: Solve for x
    x = 63,762,022.66/9,209
  6. Step 6: Final answer
    x = 6,923.88

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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.