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Finding the Fourth Proportional to 5,207.84, 7,815.60 and 4,194.08

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Solution

The fourth proportional to 5,207.84, 7,815.60 and 4,194.08 is: 6,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.84 : 7,815.60 = 4,194.08 : x
  2. Step 2: Convert to fraction form
    5,207.84/7,815.60 = 4,194.08/x
  3. Step 3: Cross multiply
    5,207.84x = 7,815.60 × 4,194.08
  4. Step 4: Simplify right side
    5,207.84x = 32,779,251.65
  5. Step 5: Solve for x
    x = 32,779,251.65/5,207.84
  6. Step 6: Final answer
    x = 6,294.21

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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.