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Finding the Fourth Proportional to 1,973.90, 2,722.92 and 1,601.30

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Solution

The fourth proportional to 1,973.90, 2,722.92 and 1,601.30 is: 2,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.90 : 2,722.92 = 1,601.30 : x
  2. Step 2: Convert to fraction form
    1,973.90/2,722.92 = 1,601.30/x
  3. Step 3: Cross multiply
    1,973.90x = 2,722.92 × 1,601.30
  4. Step 4: Simplify right side
    1,973.90x = 4,360,211.80
  5. Step 5: Solve for x
    x = 4,360,211.80/1,973.90
  6. Step 6: Final answer
    x = 2,208.93

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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.