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Finding the Fourth Proportional to 17,894.94, 26,813.16 and 9,117.78

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Solution

The fourth proportional to 17,894.94, 26,813.16 and 9,117.78 is: 13,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.94 : 26,813.16 = 9,117.78 : x
  2. Step 2: Convert to fraction form
    17,894.94/26,813.16 = 9,117.78/x
  3. Step 3: Cross multiply
    17,894.94x = 26,813.16 × 9,117.78
  4. Step 4: Simplify right side
    17,894.94x = 244,476,493.98
  5. Step 5: Solve for x
    x = 244,476,493.98/17,894.94
  6. Step 6: Final answer
    x = 13,661.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.