Home / 1,928.96-2,893.40-468.12

Finding the Fourth Proportional to 1,928.96, 2,893.40 and 468.12

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Solution

The fourth proportional to 1,928.96, 2,893.40 and 468.12 is: 702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.96 : 2,893.40 = 468.12 : x
  2. Step 2: Convert to fraction form
    1,928.96/2,893.40 = 468.12/x
  3. Step 3: Cross multiply
    1,928.96x = 2,893.40 × 468.12
  4. Step 4: Simplify right side
    1,928.96x = 1,354,458.41
  5. Step 5: Solve for x
    x = 1,354,458.41/1,928.96
  6. Step 6: Final answer
    x = 702.17

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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.