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Finding the Fourth Proportional to 4,780, 6,594.78 and 2,891.08

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Solution

The fourth proportional to 4,780, 6,594.78 and 2,891.08 is: 3,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780 : 6,594.78 = 2,891.08 : x
  2. Step 2: Convert to fraction form
    4,780/6,594.78 = 2,891.08/x
  3. Step 3: Cross multiply
    4,780x = 6,594.78 × 2,891.08
  4. Step 4: Simplify right side
    4,780x = 19,066,036.56
  5. Step 5: Solve for x
    x = 19,066,036.56/4,780
  6. Step 6: Final answer
    x = 3,988.71

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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.