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Finding the Fourth Proportional to 4,915.56, 6,783.42 and 2,820

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Solution

The fourth proportional to 4,915.56, 6,783.42 and 2,820 is: 3,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.56 : 6,783.42 = 2,820 : x
  2. Step 2: Convert to fraction form
    4,915.56/6,783.42 = 2,820/x
  3. Step 3: Cross multiply
    4,915.56x = 6,783.42 × 2,820
  4. Step 4: Simplify right side
    4,915.56x = 19,129,244.40
  5. Step 5: Solve for x
    x = 19,129,244.40/4,915.56
  6. Step 6: Final answer
    x = 3,891.57

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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.