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Finding the Fourth Proportional to 6,409.50, 9,612.78 and 2,305.50

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Solution

The fourth proportional to 6,409.50, 9,612.78 and 2,305.50 is: 3,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.50 : 9,612.78 = 2,305.50 : x
  2. Step 2: Convert to fraction form
    6,409.50/9,612.78 = 2,305.50/x
  3. Step 3: Cross multiply
    6,409.50x = 9,612.78 × 2,305.50
  4. Step 4: Simplify right side
    6,409.50x = 22,162,264.29
  5. Step 5: Solve for x
    x = 22,162,264.29/6,409.50
  6. Step 6: Final answer
    x = 3,457.72

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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.