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Finding the Fourth Proportional to 1,866.97, 2,802.18 and 943.18

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Solution

The fourth proportional to 1,866.97, 2,802.18 and 943.18 is: 1,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.97 : 2,802.18 = 943.18 : x
  2. Step 2: Convert to fraction form
    1,866.97/2,802.18 = 943.18/x
  3. Step 3: Cross multiply
    1,866.97x = 2,802.18 × 943.18
  4. Step 4: Simplify right side
    1,866.97x = 2,642,951.41
  5. Step 5: Solve for x
    x = 2,642,951.41/1,866.97
  6. Step 6: Final answer
    x = 1,415.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.