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Finding the Fourth Proportional to 1,973.74, 2,957.78 and 1,449.62

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Solution

The fourth proportional to 1,973.74, 2,957.78 and 1,449.62 is: 2,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.74 : 2,957.78 = 1,449.62 : x
  2. Step 2: Convert to fraction form
    1,973.74/2,957.78 = 1,449.62/x
  3. Step 3: Cross multiply
    1,973.74x = 2,957.78 × 1,449.62
  4. Step 4: Simplify right side
    1,973.74x = 4,287,657.19
  5. Step 5: Solve for x
    x = 4,287,657.19/1,973.74
  6. Step 6: Final answer
    x = 2,172.35

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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.