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Finding the Fourth Proportional to 3,057.90, 4,219.90 and 1,731.53

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Solution

The fourth proportional to 3,057.90, 4,219.90 and 1,731.53 is: 2,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.90 : 4,219.90 = 1,731.53 : x
  2. Step 2: Convert to fraction form
    3,057.90/4,219.90 = 1,731.53/x
  3. Step 3: Cross multiply
    3,057.90x = 4,219.90 × 1,731.53
  4. Step 4: Simplify right side
    3,057.90x = 7,306,853.69
  5. Step 5: Solve for x
    x = 7,306,853.69/3,057.90
  6. Step 6: Final answer
    x = 2,389.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.