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Finding the Fourth Proportional to 3,970.68, 5,921.03 and 3,693.64

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Solution

The fourth proportional to 3,970.68, 5,921.03 and 3,693.64 is: 5,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.68 : 5,921.03 = 3,693.64 : x
  2. Step 2: Convert to fraction form
    3,970.68/5,921.03 = 3,693.64/x
  3. Step 3: Cross multiply
    3,970.68x = 5,921.03 × 3,693.64
  4. Step 4: Simplify right side
    3,970.68x = 21,870,153.25
  5. Step 5: Solve for x
    x = 21,870,153.25/3,970.68
  6. Step 6: Final answer
    x = 5,507.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.