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Finding the Fourth Proportional to 2,970.81, 4,448.93 and 1,801.44

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Solution

The fourth proportional to 2,970.81, 4,448.93 and 1,801.44 is: 2,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.81 : 4,448.93 = 1,801.44 : x
  2. Step 2: Convert to fraction form
    2,970.81/4,448.93 = 1,801.44/x
  3. Step 3: Cross multiply
    2,970.81x = 4,448.93 × 1,801.44
  4. Step 4: Simplify right side
    2,970.81x = 8,014,471.45
  5. Step 5: Solve for x
    x = 8,014,471.45/2,970.81
  6. Step 6: Final answer
    x = 2,697.74

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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.