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Finding the Fourth Proportional to 7,705.95, 11,567.16 and 6,787.41

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Solution

The fourth proportional to 7,705.95, 11,567.16 and 6,787.41 is: 10,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.95 : 11,567.16 = 6,787.41 : x
  2. Step 2: Convert to fraction form
    7,705.95/11,567.16 = 6,787.41/x
  3. Step 3: Cross multiply
    7,705.95x = 11,567.16 × 6,787.41
  4. Step 4: Simplify right side
    7,705.95x = 78,511,057.46
  5. Step 5: Solve for x
    x = 78,511,057.46/7,705.95
  6. Step 6: Final answer
    x = 10,188.37

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1.5x scale

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.