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Finding the Fourth Proportional to 4,915.69, 6,784.02 and 3,026.80

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Solution

The fourth proportional to 4,915.69, 6,784.02 and 3,026.80 is: 4,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.69 : 6,784.02 = 3,026.80 : x
  2. Step 2: Convert to fraction form
    4,915.69/6,784.02 = 3,026.80/x
  3. Step 3: Cross multiply
    4,915.69x = 6,784.02 × 3,026.80
  4. Step 4: Simplify right side
    4,915.69x = 20,533,880.22
  5. Step 5: Solve for x
    x = 20,533,880.22/4,915.69
  6. Step 6: Final answer
    x = 4,177.21

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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.