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Finding the Fourth Proportional to 8,409.84, 11,605.20 and 4,872.96

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Solution

The fourth proportional to 8,409.84, 11,605.20 and 4,872.96 is: 6,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.84 : 11,605.20 = 4,872.96 : x
  2. Step 2: Convert to fraction form
    8,409.84/11,605.20 = 4,872.96/x
  3. Step 3: Cross multiply
    8,409.84x = 11,605.20 × 4,872.96
  4. Step 4: Simplify right side
    8,409.84x = 56,551,675.39
  5. Step 5: Solve for x
    x = 56,551,675.39/8,409.84
  6. Step 6: Final answer
    x = 6,724.47

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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.