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Finding the Fourth Proportional to 3,057.66, 4,219.08 and 1,731.36

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Solution

The fourth proportional to 3,057.66, 4,219.08 and 1,731.36 is: 2,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.66 : 4,219.08 = 1,731.36 : x
  2. Step 2: Convert to fraction form
    3,057.66/4,219.08 = 1,731.36/x
  3. Step 3: Cross multiply
    3,057.66x = 4,219.08 × 1,731.36
  4. Step 4: Simplify right side
    3,057.66x = 7,304,746.35
  5. Step 5: Solve for x
    x = 7,304,746.35/3,057.66
  6. Step 6: Final answer
    x = 2,389.00

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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.