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Finding the Fourth Proportional to 12,783.94, 17,640.41 and 7,117.38

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Solution

The fourth proportional to 12,783.94, 17,640.41 and 7,117.38 is: 9,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.94 : 17,640.41 = 7,117.38 : x
  2. Step 2: Convert to fraction form
    12,783.94/17,640.41 = 7,117.38/x
  3. Step 3: Cross multiply
    12,783.94x = 17,640.41 × 7,117.38
  4. Step 4: Simplify right side
    12,783.94x = 125,553,465.74
  5. Step 5: Solve for x
    x = 125,553,465.74/12,783.94
  6. Step 6: Final answer
    x = 9,821.19

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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.