Home / 1,929.78-2,664.63-1,782.36

Finding the Fourth Proportional to 1,929.78, 2,664.63 and 1,782.36

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Solution

The fourth proportional to 1,929.78, 2,664.63 and 1,782.36 is: 2,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.78 : 2,664.63 = 1,782.36 : x
  2. Step 2: Convert to fraction form
    1,929.78/2,664.63 = 1,782.36/x
  3. Step 3: Cross multiply
    1,929.78x = 2,664.63 × 1,782.36
  4. Step 4: Simplify right side
    1,929.78x = 4,749,329.93
  5. Step 5: Solve for x
    x = 4,749,329.93/1,929.78
  6. Step 6: Final answer
    x = 2,461.07

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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.