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Finding the Fourth Proportional to 9,787.59, 13,511.87 and 6,206.18

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Solution

The fourth proportional to 9,787.59, 13,511.87 and 6,206.18 is: 8,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.59 : 13,511.87 = 6,206.18 : x
  2. Step 2: Convert to fraction form
    9,787.59/13,511.87 = 6,206.18/x
  3. Step 3: Cross multiply
    9,787.59x = 13,511.87 × 6,206.18
  4. Step 4: Simplify right side
    9,787.59x = 83,856,998.77
  5. Step 5: Solve for x
    x = 83,856,998.77/9,787.59
  6. Step 6: Final answer
    x = 8,567.69

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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.