Home / 1,802.09-2,706.23-981.97

Finding the Fourth Proportional to 1,802.09, 2,706.23 and 981.97

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Solution

The fourth proportional to 1,802.09, 2,706.23 and 981.97 is: 1,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.09 : 2,706.23 = 981.97 : x
  2. Step 2: Convert to fraction form
    1,802.09/2,706.23 = 981.97/x
  3. Step 3: Cross multiply
    1,802.09x = 2,706.23 × 981.97
  4. Step 4: Simplify right side
    1,802.09x = 2,657,432.36
  5. Step 5: Solve for x
    x = 2,657,432.36/1,802.09
  6. Step 6: Final answer
    x = 1,474.64

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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.