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Finding the Fourth Proportional to 4,978.02, 6,869.82 and 2,853.75

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Solution

The fourth proportional to 4,978.02, 6,869.82 and 2,853.75 is: 3,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.02 : 6,869.82 = 2,853.75 : x
  2. Step 2: Convert to fraction form
    4,978.02/6,869.82 = 2,853.75/x
  3. Step 3: Cross multiply
    4,978.02x = 6,869.82 × 2,853.75
  4. Step 4: Simplify right side
    4,978.02x = 19,604,748.83
  5. Step 5: Solve for x
    x = 19,604,748.83/4,978.02
  6. Step 6: Final answer
    x = 3,938.26

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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.