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Finding the Fourth Proportional to 2,802.51, 3,866.72 and 1,683.95

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Solution

The fourth proportional to 2,802.51, 3,866.72 and 1,683.95 is: 2,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.51 : 3,866.72 = 1,683.95 : x
  2. Step 2: Convert to fraction form
    2,802.51/3,866.72 = 1,683.95/x
  3. Step 3: Cross multiply
    2,802.51x = 3,866.72 × 1,683.95
  4. Step 4: Simplify right side
    2,802.51x = 6,511,335.39
  5. Step 5: Solve for x
    x = 6,511,335.39/2,802.51
  6. Step 6: Final answer
    x = 2,323.39

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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.