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Finding the Fourth Proportional to 1,833.65, 2,530.80 and 1,390.80

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Solution

The fourth proportional to 1,833.65, 2,530.80 and 1,390.80 is: 1,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.65 : 2,530.80 = 1,390.80 : x
  2. Step 2: Convert to fraction form
    1,833.65/2,530.80 = 1,390.80/x
  3. Step 3: Cross multiply
    1,833.65x = 2,530.80 × 1,390.80
  4. Step 4: Simplify right side
    1,833.65x = 3,519,836.64
  5. Step 5: Solve for x
    x = 3,519,836.64/1,833.65
  6. Step 6: Final answer
    x = 1,919.58

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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.