Home / 1,698.23-2,343.80-942.18

Finding the Fourth Proportional to 1,698.23, 2,343.80 and 942.18

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Solution

The fourth proportional to 1,698.23, 2,343.80 and 942.18 is: 1,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.23 : 2,343.80 = 942.18 : x
  2. Step 2: Convert to fraction form
    1,698.23/2,343.80 = 942.18/x
  3. Step 3: Cross multiply
    1,698.23x = 2,343.80 × 942.18
  4. Step 4: Simplify right side
    1,698.23x = 2,208,276.34
  5. Step 5: Solve for x
    x = 2,208,276.34/1,698.23
  6. Step 6: Final answer
    x = 1,300.34

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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.