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Finding the Fourth Proportional to 12,815.77, 17,685.77 and 7,226.77

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Solution

The fourth proportional to 12,815.77, 17,685.77 and 7,226.77 is: 9,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.77 : 17,685.77 = 7,226.77 : x
  2. Step 2: Convert to fraction form
    12,815.77/17,685.77 = 7,226.77/x
  3. Step 3: Cross multiply
    12,815.77x = 17,685.77 × 7,226.77
  4. Step 4: Simplify right side
    12,815.77x = 127,810,992.06
  5. Step 5: Solve for x
    x = 127,810,992.06/12,815.77
  6. Step 6: Final answer
    x = 9,972.95

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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.