Home / 1,929.74-2,894.41-543.04

Finding the Fourth Proportional to 1,929.74, 2,894.41 and 543.04

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Solution

The fourth proportional to 1,929.74, 2,894.41 and 543.04 is: 814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.74 : 2,894.41 = 543.04 : x
  2. Step 2: Convert to fraction form
    1,929.74/2,894.41 = 543.04/x
  3. Step 3: Cross multiply
    1,929.74x = 2,894.41 × 543.04
  4. Step 4: Simplify right side
    1,929.74x = 1,571,780.41
  5. Step 5: Solve for x
    x = 1,571,780.41/1,929.74
  6. Step 6: Final answer
    x = 814.50

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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.