Home / 1,822.40-2,734.08-668.16

Finding the Fourth Proportional to 1,822.40, 2,734.08 and 668.16

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Solution

The fourth proportional to 1,822.40, 2,734.08 and 668.16 is: 1,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.40 : 2,734.08 = 668.16 : x
  2. Step 2: Convert to fraction form
    1,822.40/2,734.08 = 668.16/x
  3. Step 3: Cross multiply
    1,822.40x = 2,734.08 × 668.16
  4. Step 4: Simplify right side
    1,822.40x = 1,826,802.89
  5. Step 5: Solve for x
    x = 1,826,802.89/1,822.40
  6. Step 6: Final answer
    x = 1,002.42

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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.