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Finding the Fourth Proportional to 4,559.60, 6,840.12 and 1,638.62

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Solution

The fourth proportional to 4,559.60, 6,840.12 and 1,638.62 is: 2,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.60 : 6,840.12 = 1,638.62 : x
  2. Step 2: Convert to fraction form
    4,559.60/6,840.12 = 1,638.62/x
  3. Step 3: Cross multiply
    4,559.60x = 6,840.12 × 1,638.62
  4. Step 4: Simplify right side
    4,559.60x = 11,208,357.43
  5. Step 5: Solve for x
    x = 11,208,357.43/4,559.60
  6. Step 6: Final answer
    x = 2,458.19

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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.