Home / 4,656-6,984.42-1,193.28

Finding the Fourth Proportional to 4,656, 6,984.42 and 1,193.28

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Solution

The fourth proportional to 4,656, 6,984.42 and 1,193.28 is: 1,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656 : 6,984.42 = 1,193.28 : x
  2. Step 2: Convert to fraction form
    4,656/6,984.42 = 1,193.28/x
  3. Step 3: Cross multiply
    4,656x = 6,984.42 × 1,193.28
  4. Step 4: Simplify right side
    4,656x = 8,334,368.70
  5. Step 5: Solve for x
    x = 8,334,368.70/4,656
  6. Step 6: Final answer
    x = 1,790.03

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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.