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Finding the Fourth Proportional to 4,994.50, 7,491.75 and 1,346.50

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Solution

The fourth proportional to 4,994.50, 7,491.75 and 1,346.50 is: 2,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.50 : 7,491.75 = 1,346.50 : x
  2. Step 2: Convert to fraction form
    4,994.50/7,491.75 = 1,346.50/x
  3. Step 3: Cross multiply
    4,994.50x = 7,491.75 × 1,346.50
  4. Step 4: Simplify right side
    4,994.50x = 10,087,641.38
  5. Step 5: Solve for x
    x = 10,087,641.38/4,994.50
  6. Step 6: Final answer
    x = 2,019.75

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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.