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Finding the Fourth Proportional to 3,314.70, 4,970.90 and 974.09

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Solution

The fourth proportional to 3,314.70, 4,970.90 and 974.09 is: 1,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.70 : 4,970.90 = 974.09 : x
  2. Step 2: Convert to fraction form
    3,314.70/4,970.90 = 974.09/x
  3. Step 3: Cross multiply
    3,314.70x = 4,970.90 × 974.09
  4. Step 4: Simplify right side
    3,314.70x = 4,842,118.84
  5. Step 5: Solve for x
    x = 4,842,118.84/3,314.70
  6. Step 6: Final answer
    x = 1,460.80

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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.