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Finding the Fourth Proportional to 2,898.53, 3,998.72 and 1,954.93

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Solution

The fourth proportional to 2,898.53, 3,998.72 and 1,954.93 is: 2,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.53 : 3,998.72 = 1,954.93 : x
  2. Step 2: Convert to fraction form
    2,898.53/3,998.72 = 1,954.93/x
  3. Step 3: Cross multiply
    2,898.53x = 3,998.72 × 1,954.93
  4. Step 4: Simplify right side
    2,898.53x = 7,817,202.58
  5. Step 5: Solve for x
    x = 7,817,202.58/2,898.53
  6. Step 6: Final answer
    x = 2,696.96

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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.