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Finding the Fourth Proportional to 9,876.43, 14,826.21 and 7,797.84

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Solution

The fourth proportional to 9,876.43, 14,826.21 and 7,797.84 is: 11,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.43 : 14,826.21 = 7,797.84 : x
  2. Step 2: Convert to fraction form
    9,876.43/14,826.21 = 7,797.84/x
  3. Step 3: Cross multiply
    9,876.43x = 14,826.21 × 7,797.84
  4. Step 4: Simplify right side
    9,876.43x = 115,612,413.39
  5. Step 5: Solve for x
    x = 115,612,413.39/9,876.43
  6. Step 6: Final answer
    x = 11,705.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.