Home / 1,820.42-2,511.88-1,023.65

Finding the Fourth Proportional to 1,820.42, 2,511.88 and 1,023.65

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Solution

The fourth proportional to 1,820.42, 2,511.88 and 1,023.65 is: 1,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.42 : 2,511.88 = 1,023.65 : x
  2. Step 2: Convert to fraction form
    1,820.42/2,511.88 = 1,023.65/x
  3. Step 3: Cross multiply
    1,820.42x = 2,511.88 × 1,023.65
  4. Step 4: Simplify right side
    1,820.42x = 2,571,270.84
  5. Step 5: Solve for x
    x = 2,571,270.84/1,820.42
  6. Step 6: Final answer
    x = 1,412.46

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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.