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Finding the Fourth Proportional to 15,786.07, 21,787.60 and 9,413.07

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Solution

The fourth proportional to 15,786.07, 21,787.60 and 9,413.07 is: 12,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.07 : 21,787.60 = 9,413.07 : x
  2. Step 2: Convert to fraction form
    15,786.07/21,787.60 = 9,413.07/x
  3. Step 3: Cross multiply
    15,786.07x = 21,787.60 × 9,413.07
  4. Step 4: Simplify right side
    15,786.07x = 205,088,203.93
  5. Step 5: Solve for x
    x = 205,088,203.93/15,786.07
  6. Step 6: Final answer
    x = 12,991.72

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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.