Home / 2,038.40-2,812.80-1,409.60

Finding the Fourth Proportional to 2,038.40, 2,812.80 and 1,409.60

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Solution

The fourth proportional to 2,038.40, 2,812.80 and 1,409.60 is: 1,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.40 : 2,812.80 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    2,038.40/2,812.80 = 1,409.60/x
  3. Step 3: Cross multiply
    2,038.40x = 2,812.80 × 1,409.60
  4. Step 4: Simplify right side
    2,038.40x = 3,964,922.88
  5. Step 5: Solve for x
    x = 3,964,922.88/2,038.40
  6. Step 6: Final answer
    x = 1,945.12

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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.