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Finding the Fourth Proportional to 8,825.76, 12,113.70 and 7,859.84

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Solution

The fourth proportional to 8,825.76, 12,113.70 and 7,859.84 is: 10,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.76 : 12,113.70 = 7,859.84 : x
  2. Step 2: Convert to fraction form
    8,825.76/12,113.70 = 7,859.84/x
  3. Step 3: Cross multiply
    8,825.76x = 12,113.70 × 7,859.84
  4. Step 4: Simplify right side
    8,825.76x = 95,211,697.98
  5. Step 5: Solve for x
    x = 95,211,697.98/8,825.76
  6. Step 6: Final answer
    x = 10,787.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.