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Finding the Fourth Proportional to 4,564, 6,846 and 1,276.80

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Solution

The fourth proportional to 4,564, 6,846 and 1,276.80 is: 1,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,846 = 1,276.80 : x
  2. Step 2: Convert to fraction form
    4,564/6,846 = 1,276.80/x
  3. Step 3: Cross multiply
    4,564x = 6,846 × 1,276.80
  4. Step 4: Simplify right side
    4,564x = 8,740,972.80
  5. Step 5: Solve for x
    x = 8,740,972.80/4,564
  6. Step 6: Final answer
    x = 1,915.20

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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.