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Finding the Fourth Proportional to 2,129.99, 3,193.90 and 974.75

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Solution

The fourth proportional to 2,129.99, 3,193.90 and 974.75 is: 1,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.99 : 3,193.90 = 974.75 : x
  2. Step 2: Convert to fraction form
    2,129.99/3,193.90 = 974.75/x
  3. Step 3: Cross multiply
    2,129.99x = 3,193.90 × 974.75
  4. Step 4: Simplify right side
    2,129.99x = 3,113,254.03
  5. Step 5: Solve for x
    x = 3,113,254.03/2,129.99
  6. Step 6: Final answer
    x = 1,461.63

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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.