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Finding the Fourth Proportional to 12,789.14, 17,647.74 and 7,123.68

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Solution

The fourth proportional to 12,789.14, 17,647.74 and 7,123.68 is: 9,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.14 : 17,647.74 = 7,123.68 : x
  2. Step 2: Convert to fraction form
    12,789.14/17,647.74 = 7,123.68/x
  3. Step 3: Cross multiply
    12,789.14x = 17,647.74 × 7,123.68
  4. Step 4: Simplify right side
    12,789.14x = 125,716,852.48
  5. Step 5: Solve for x
    x = 125,716,852.48/12,789.14
  6. Step 6: Final answer
    x = 9,829.97

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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.