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Finding the Fourth Proportional to 1,409.48, 1,954.15 and 1,343.72

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Solution

The fourth proportional to 1,409.48, 1,954.15 and 1,343.72 is: 1,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.48 : 1,954.15 = 1,343.72 : x
  2. Step 2: Convert to fraction form
    1,409.48/1,954.15 = 1,343.72/x
  3. Step 3: Cross multiply
    1,409.48x = 1,954.15 × 1,343.72
  4. Step 4: Simplify right side
    1,409.48x = 2,625,830.44
  5. Step 5: Solve for x
    x = 2,625,830.44/1,409.48
  6. Step 6: Final answer
    x = 1,862.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.