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Finding the Fourth Proportional to 3,084.90, 4,627.26 and 776.40

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Solution

The fourth proportional to 3,084.90, 4,627.26 and 776.40 is: 1,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.90 : 4,627.26 = 776.40 : x
  2. Step 2: Convert to fraction form
    3,084.90/4,627.26 = 776.40/x
  3. Step 3: Cross multiply
    3,084.90x = 4,627.26 × 776.40
  4. Step 4: Simplify right side
    3,084.90x = 3,592,604.66
  5. Step 5: Solve for x
    x = 3,592,604.66/3,084.90
  6. Step 6: Final answer
    x = 1,164.58

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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.