Home / 4,136-6,206.43-1,827.50

Finding the Fourth Proportional to 4,136, 6,206.43 and 1,827.50

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Solution

The fourth proportional to 4,136, 6,206.43 and 1,827.50 is: 2,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136 : 6,206.43 = 1,827.50 : x
  2. Step 2: Convert to fraction form
    4,136/6,206.43 = 1,827.50/x
  3. Step 3: Cross multiply
    4,136x = 6,206.43 × 1,827.50
  4. Step 4: Simplify right side
    4,136x = 11,342,250.83
  5. Step 5: Solve for x
    x = 11,342,250.83/4,136
  6. Step 6: Final answer
    x = 2,742.32

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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.