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Finding the Fourth Proportional to 6,411.50, 8,846.80 and 4,283.62

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Solution

The fourth proportional to 6,411.50, 8,846.80 and 4,283.62 is: 5,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.50 : 8,846.80 = 4,283.62 : x
  2. Step 2: Convert to fraction form
    6,411.50/8,846.80 = 4,283.62/x
  3. Step 3: Cross multiply
    6,411.50x = 8,846.80 × 4,283.62
  4. Step 4: Simplify right side
    6,411.50x = 37,896,329.42
  5. Step 5: Solve for x
    x = 37,896,329.42/6,411.50
  6. Step 6: Final answer
    x = 5,910.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.