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Finding the Fourth Proportional to 1,812.78, 2,706 and 1,677.51

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Solution

The fourth proportional to 1,812.78, 2,706 and 1,677.51 is: 2,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.78 : 2,706 = 1,677.51 : x
  2. Step 2: Convert to fraction form
    1,812.78/2,706 = 1,677.51/x
  3. Step 3: Cross multiply
    1,812.78x = 2,706 × 1,677.51
  4. Step 4: Simplify right side
    1,812.78x = 4,539,342.06
  5. Step 5: Solve for x
    x = 4,539,342.06/1,812.78
  6. Step 6: Final answer
    x = 2,504.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.