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Finding the Fourth Proportional to 12,815.90, 17,685.94 and 7,226.90

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Solution

The fourth proportional to 12,815.90, 17,685.94 and 7,226.90 is: 9,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.90 : 17,685.94 = 7,226.90 : x
  2. Step 2: Convert to fraction form
    12,815.90/17,685.94 = 7,226.90/x
  3. Step 3: Cross multiply
    12,815.90x = 17,685.94 × 7,226.90
  4. Step 4: Simplify right side
    12,815.90x = 127,814,413.29
  5. Step 5: Solve for x
    x = 127,814,413.29/12,815.90
  6. Step 6: Final answer
    x = 9,973.12

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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.