Home / 1,923.40-2,886.69-828.52

Finding the Fourth Proportional to 1,923.40, 2,886.69 and 828.52

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Solution

The fourth proportional to 1,923.40, 2,886.69 and 828.52 is: 1,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.40 : 2,886.69 = 828.52 : x
  2. Step 2: Convert to fraction form
    1,923.40/2,886.69 = 828.52/x
  3. Step 3: Cross multiply
    1,923.40x = 2,886.69 × 828.52
  4. Step 4: Simplify right side
    1,923.40x = 2,391,680.40
  5. Step 5: Solve for x
    x = 2,391,680.40/1,923.40
  6. Step 6: Final answer
    x = 1,243.46

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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.