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Finding the Fourth Proportional to 4,994.40, 7,478.40 and 4,002.60

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Solution

The fourth proportional to 4,994.40, 7,478.40 and 4,002.60 is: 5,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.40 : 7,478.40 = 4,002.60 : x
  2. Step 2: Convert to fraction form
    4,994.40/7,478.40 = 4,002.60/x
  3. Step 3: Cross multiply
    4,994.40x = 7,478.40 × 4,002.60
  4. Step 4: Simplify right side
    4,994.40x = 29,933,043.84
  5. Step 5: Solve for x
    x = 29,933,043.84/4,994.40
  6. Step 6: Final answer
    x = 5,993.32

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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.