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Finding the Fourth Proportional to 1,409.36, 2,114.04 and 854.21

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Solution

The fourth proportional to 1,409.36, 2,114.04 and 854.21 is: 1,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.36 : 2,114.04 = 854.21 : x
  2. Step 2: Convert to fraction form
    1,409.36/2,114.04 = 854.21/x
  3. Step 3: Cross multiply
    1,409.36x = 2,114.04 × 854.21
  4. Step 4: Simplify right side
    1,409.36x = 1,805,834.11
  5. Step 5: Solve for x
    x = 1,805,834.11/1,409.36
  6. Step 6: Final answer
    x = 1,281.32

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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.