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Finding the Fourth Proportional to 5,077.64, 7,579.68 and 4,388.74

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Solution

The fourth proportional to 5,077.64, 7,579.68 and 4,388.74 is: 6,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.64 : 7,579.68 = 4,388.74 : x
  2. Step 2: Convert to fraction form
    5,077.64/7,579.68 = 4,388.74/x
  3. Step 3: Cross multiply
    5,077.64x = 7,579.68 × 4,388.74
  4. Step 4: Simplify right side
    5,077.64x = 33,265,184.96
  5. Step 5: Solve for x
    x = 33,265,184.96/5,077.64
  6. Step 6: Final answer
    x = 6,551.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.