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Finding the Fourth Proportional to 2,972.70, 4,457.70 and 1,329.75

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Solution

The fourth proportional to 2,972.70, 4,457.70 and 1,329.75 is: 1,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.70 : 4,457.70 = 1,329.75 : x
  2. Step 2: Convert to fraction form
    2,972.70/4,457.70 = 1,329.75/x
  3. Step 3: Cross multiply
    2,972.70x = 4,457.70 × 1,329.75
  4. Step 4: Simplify right side
    2,972.70x = 5,927,626.58
  5. Step 5: Solve for x
    x = 5,927,626.58/2,972.70
  6. Step 6: Final answer
    x = 1,994.02

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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.