Home / 1,829.64-2,740.68-1,362

Finding the Fourth Proportional to 1,829.64, 2,740.68 and 1,362

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Solution

The fourth proportional to 1,829.64, 2,740.68 and 1,362 is: 2,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.64 : 2,740.68 = 1,362 : x
  2. Step 2: Convert to fraction form
    1,829.64/2,740.68 = 1,362/x
  3. Step 3: Cross multiply
    1,829.64x = 2,740.68 × 1,362
  4. Step 4: Simplify right side
    1,829.64x = 3,732,806.16
  5. Step 5: Solve for x
    x = 3,732,806.16/1,829.64
  6. Step 6: Final answer
    x = 2,040.19

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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.