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Finding the Fourth Proportional to 1,954.40, 2,696.40 and 1,325.60

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Solution

The fourth proportional to 1,954.40, 2,696.40 and 1,325.60 is: 1,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.40 : 2,696.40 = 1,325.60 : x
  2. Step 2: Convert to fraction form
    1,954.40/2,696.40 = 1,325.60/x
  3. Step 3: Cross multiply
    1,954.40x = 2,696.40 × 1,325.60
  4. Step 4: Simplify right side
    1,954.40x = 3,574,347.84
  5. Step 5: Solve for x
    x = 3,574,347.84/1,954.40
  6. Step 6: Final answer
    x = 1,828.87

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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.