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Finding the Fourth Proportional to 12,815.93, 17,687.22 and 7,778.99

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Solution

The fourth proportional to 12,815.93, 17,687.22 and 7,778.99 is: 10,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.93 : 17,687.22 = 7,778.99 : x
  2. Step 2: Convert to fraction form
    12,815.93/17,687.22 = 7,778.99/x
  3. Step 3: Cross multiply
    12,815.93x = 17,687.22 × 7,778.99
  4. Step 4: Simplify right side
    12,815.93x = 137,588,707.51
  5. Step 5: Solve for x
    x = 137,588,707.51/12,815.93
  6. Step 6: Final answer
    x = 10,735.76

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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.