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Finding the Fourth Proportional to 4,564, 6,846.42 and 1,277.09

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Solution

The fourth proportional to 4,564, 6,846.42 and 1,277.09 is: 1,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,846.42 = 1,277.09 : x
  2. Step 2: Convert to fraction form
    4,564/6,846.42 = 1,277.09/x
  3. Step 3: Cross multiply
    4,564x = 6,846.42 × 1,277.09
  4. Step 4: Simplify right side
    4,564x = 8,743,460.29
  5. Step 5: Solve for x
    x = 8,743,460.29/4,564
  6. Step 6: Final answer
    x = 1,915.75

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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.