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Finding the Fourth Proportional to 12,369.25, 17,069.70 and 6,780.25

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Solution

The fourth proportional to 12,369.25, 17,069.70 and 6,780.25 is: 9,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.25 : 17,069.70 = 6,780.25 : x
  2. Step 2: Convert to fraction form
    12,369.25/17,069.70 = 6,780.25/x
  3. Step 3: Cross multiply
    12,369.25x = 17,069.70 × 6,780.25
  4. Step 4: Simplify right side
    12,369.25x = 115,736,833.43
  5. Step 5: Solve for x
    x = 115,736,833.43/12,369.25
  6. Step 6: Final answer
    x = 9,356.82

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1.5x scale

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.