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Finding the Fourth Proportional to 2,970.53, 4,099.27 and 1,644.20

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Solution

The fourth proportional to 2,970.53, 4,099.27 and 1,644.20 is: 2,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.53 : 4,099.27 = 1,644.20 : x
  2. Step 2: Convert to fraction form
    2,970.53/4,099.27 = 1,644.20/x
  3. Step 3: Cross multiply
    2,970.53x = 4,099.27 × 1,644.20
  4. Step 4: Simplify right side
    2,970.53x = 6,740,019.73
  5. Step 5: Solve for x
    x = 6,740,019.73/2,970.53
  6. Step 6: Final answer
    x = 2,268.96

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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.