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Finding the Fourth Proportional to 3,136.33, 4,328.16 and 1,809.77

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Solution

The fourth proportional to 3,136.33, 4,328.16 and 1,809.77 is: 2,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.33 : 4,328.16 = 1,809.77 : x
  2. Step 2: Convert to fraction form
    3,136.33/4,328.16 = 1,809.77/x
  3. Step 3: Cross multiply
    3,136.33x = 4,328.16 × 1,809.77
  4. Step 4: Simplify right side
    3,136.33x = 7,832,974.12
  5. Step 5: Solve for x
    x = 7,832,974.12/3,136.33
  6. Step 6: Final answer
    x = 2,497.50

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1.5x scale

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.