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Finding the Fourth Proportional to 3,760.81, 5,641.25 and 1,420.20

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Solution

The fourth proportional to 3,760.81, 5,641.25 and 1,420.20 is: 2,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.81 : 5,641.25 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    3,760.81/5,641.25 = 1,420.20/x
  3. Step 3: Cross multiply
    3,760.81x = 5,641.25 × 1,420.20
  4. Step 4: Simplify right side
    3,760.81x = 8,011,696.15
  5. Step 5: Solve for x
    x = 8,011,696.15/3,760.81
  6. Step 6: Final answer
    x = 2,130.31

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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.