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Finding the Fourth Proportional to 7,787.85, 11,662.68 and 7,039.00

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Solution

The fourth proportional to 7,787.85, 11,662.68 and 7,039.00 is: 10,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.85 : 11,662.68 = 7,039.00 : x
  2. Step 2: Convert to fraction form
    7,787.85/11,662.68 = 7,039.00/x
  3. Step 3: Cross multiply
    7,787.85x = 11,662.68 × 7,039.00
  4. Step 4: Simplify right side
    7,787.85x = 82,093,678.30
  5. Step 5: Solve for x
    x = 82,093,678.30/7,787.85
  6. Step 6: Final answer
    x = 10,541.25

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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.