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Finding the Fourth Proportional to 2,765.77, 3,813.88 and 2,136.40

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Solution

The fourth proportional to 2,765.77, 3,813.88 and 2,136.40 is: 2,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.77 : 3,813.88 = 2,136.40 : x
  2. Step 2: Convert to fraction form
    2,765.77/3,813.88 = 2,136.40/x
  3. Step 3: Cross multiply
    2,765.77x = 3,813.88 × 2,136.40
  4. Step 4: Simplify right side
    2,765.77x = 8,147,973.23
  5. Step 5: Solve for x
    x = 8,147,973.23/2,765.77
  6. Step 6: Final answer
    x = 2,946.01

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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.