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Finding the Fourth Proportional to 2,802.06, 3,869.40 and 1,809.06

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Solution

The fourth proportional to 2,802.06, 3,869.40 and 1,809.06 is: 2,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.06 : 3,869.40 = 1,809.06 : x
  2. Step 2: Convert to fraction form
    2,802.06/3,869.40 = 1,809.06/x
  3. Step 3: Cross multiply
    2,802.06x = 3,869.40 × 1,809.06
  4. Step 4: Simplify right side
    2,802.06x = 6,999,976.76
  5. Step 5: Solve for x
    x = 6,999,976.76/2,802.06
  6. Step 6: Final answer
    x = 2,498.15

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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.