Home / 2,153.80-2,973.14-1,823.96

Finding the Fourth Proportional to 2,153.80, 2,973.14 and 1,823.96

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Solution

The fourth proportional to 2,153.80, 2,973.14 and 1,823.96 is: 2,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.80 : 2,973.14 = 1,823.96 : x
  2. Step 2: Convert to fraction form
    2,153.80/2,973.14 = 1,823.96/x
  3. Step 3: Cross multiply
    2,153.80x = 2,973.14 × 1,823.96
  4. Step 4: Simplify right side
    2,153.80x = 5,422,888.43
  5. Step 5: Solve for x
    x = 5,422,888.43/2,153.80
  6. Step 6: Final answer
    x = 2,517.82

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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.