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Finding the Fourth Proportional to 5,189.65, 7,784.46 and 1,294.06

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Solution

The fourth proportional to 5,189.65, 7,784.46 and 1,294.06 is: 1,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.65 : 7,784.46 = 1,294.06 : x
  2. Step 2: Convert to fraction form
    5,189.65/7,784.46 = 1,294.06/x
  3. Step 3: Cross multiply
    5,189.65x = 7,784.46 × 1,294.06
  4. Step 4: Simplify right side
    5,189.65x = 10,073,558.31
  5. Step 5: Solve for x
    x = 10,073,558.31/5,189.65
  6. Step 6: Final answer
    x = 1,941.09

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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.