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Finding the Fourth Proportional to 12,823.79, 17,692.97 and 12,400.97

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Solution

The fourth proportional to 12,823.79, 17,692.97 and 12,400.97 is: 17,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.79 : 17,692.97 = 12,400.97 : x
  2. Step 2: Convert to fraction form
    12,823.79/17,692.97 = 12,400.97/x
  3. Step 3: Cross multiply
    12,823.79x = 17,692.97 × 12,400.97
  4. Step 4: Simplify right side
    12,823.79x = 219,409,839.71
  5. Step 5: Solve for x
    x = 219,409,839.71/12,823.79
  6. Step 6: Final answer
    x = 17,109.60

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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.