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Finding the Fourth Proportional to 12,788.75, 17,648.21 and 7,123.49

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Solution

The fourth proportional to 12,788.75, 17,648.21 and 7,123.49 is: 9,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.75 : 17,648.21 = 7,123.49 : x
  2. Step 2: Convert to fraction form
    12,788.75/17,648.21 = 7,123.49/x
  3. Step 3: Cross multiply
    12,788.75x = 17,648.21 × 7,123.49
  4. Step 4: Simplify right side
    12,788.75x = 125,716,843.20
  5. Step 5: Solve for x
    x = 125,716,843.20/12,788.75
  6. Step 6: Final answer
    x = 9,830.27

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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.