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Finding the Fourth Proportional to 3,314.88, 4,971.39 and 974.99

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Solution

The fourth proportional to 3,314.88, 4,971.39 and 974.99 is: 1,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.88 : 4,971.39 = 974.99 : x
  2. Step 2: Convert to fraction form
    3,314.88/4,971.39 = 974.99/x
  3. Step 3: Cross multiply
    3,314.88x = 4,971.39 × 974.99
  4. Step 4: Simplify right side
    3,314.88x = 4,847,055.54
  5. Step 5: Solve for x
    x = 4,847,055.54/3,314.88
  6. Step 6: Final answer
    x = 1,462.21

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1.5x scale

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.