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Finding the Fourth Proportional to 22,965.78, 31,692.59 and 12,894.42

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Solution

The fourth proportional to 22,965.78, 31,692.59 and 12,894.42 is: 17,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.78 : 31,692.59 = 12,894.42 : x
  2. Step 2: Convert to fraction form
    22,965.78/31,692.59 = 12,894.42/x
  3. Step 3: Cross multiply
    22,965.78x = 31,692.59 × 12,894.42
  4. Step 4: Simplify right side
    22,965.78x = 408,657,437.94
  5. Step 5: Solve for x
    x = 408,657,437.94/22,965.78
  6. Step 6: Final answer
    x = 17,794.19

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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.