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Finding the Fourth Proportional to 4,780, 6,596.40 and 2,684.08

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Solution

The fourth proportional to 4,780, 6,596.40 and 2,684.08 is: 3,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780 : 6,596.40 = 2,684.08 : x
  2. Step 2: Convert to fraction form
    4,780/6,596.40 = 2,684.08/x
  3. Step 3: Cross multiply
    4,780x = 6,596.40 × 2,684.08
  4. Step 4: Simplify right side
    4,780x = 17,705,265.31
  5. Step 5: Solve for x
    x = 17,705,265.31/4,780
  6. Step 6: Final answer
    x = 3,704.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.