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Finding the Fourth Proportional to 2,994.39, 4,491.58 and 914.40

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Solution

The fourth proportional to 2,994.39, 4,491.58 and 914.40 is: 1,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.39 : 4,491.58 = 914.40 : x
  2. Step 2: Convert to fraction form
    2,994.39/4,491.58 = 914.40/x
  3. Step 3: Cross multiply
    2,994.39x = 4,491.58 × 914.40
  4. Step 4: Simplify right side
    2,994.39x = 4,107,096.18
  5. Step 5: Solve for x
    x = 4,107,096.18/2,994.39
  6. Step 6: Final answer
    x = 1,371.60

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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.