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Finding the Fourth Proportional to 2,677.75, 3,696.59 and 1,782.98

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Solution

The fourth proportional to 2,677.75, 3,696.59 and 1,782.98 is: 2,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.75 : 3,696.59 = 1,782.98 : x
  2. Step 2: Convert to fraction form
    2,677.75/3,696.59 = 1,782.98/x
  3. Step 3: Cross multiply
    2,677.75x = 3,696.59 × 1,782.98
  4. Step 4: Simplify right side
    2,677.75x = 6,590,946.04
  5. Step 5: Solve for x
    x = 6,590,946.04/2,677.75
  6. Step 6: Final answer
    x = 2,461.37

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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.