Home / 1,946.34-2,914.70-1,782.48

Finding the Fourth Proportional to 1,946.34, 2,914.70 and 1,782.48

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Solution

The fourth proportional to 1,946.34, 2,914.70 and 1,782.48 is: 2,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.34 : 2,914.70 = 1,782.48 : x
  2. Step 2: Convert to fraction form
    1,946.34/2,914.70 = 1,782.48/x
  3. Step 3: Cross multiply
    1,946.34x = 2,914.70 × 1,782.48
  4. Step 4: Simplify right side
    1,946.34x = 5,195,394.46
  5. Step 5: Solve for x
    x = 5,195,394.46/1,946.34
  6. Step 6: Final answer
    x = 2,669.31

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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.