Home / 1,928.12-2,890.56-1,562

Finding the Fourth Proportional to 1,928.12, 2,890.56 and 1,562

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Solution

The fourth proportional to 1,928.12, 2,890.56 and 1,562 is: 2,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.12 : 2,890.56 = 1,562 : x
  2. Step 2: Convert to fraction form
    1,928.12/2,890.56 = 1,562/x
  3. Step 3: Cross multiply
    1,928.12x = 2,890.56 × 1,562
  4. Step 4: Simplify right side
    1,928.12x = 4,515,054.72
  5. Step 5: Solve for x
    x = 4,515,054.72/1,928.12
  6. Step 6: Final answer
    x = 2,341.69

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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.