Home / 1,582.83-2,182.26-1,084.58

Finding the Fourth Proportional to 1,582.83, 2,182.26 and 1,084.58

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Solution

The fourth proportional to 1,582.83, 2,182.26 and 1,084.58 is: 1,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.83 : 2,182.26 = 1,084.58 : x
  2. Step 2: Convert to fraction form
    1,582.83/2,182.26 = 1,084.58/x
  3. Step 3: Cross multiply
    1,582.83x = 2,182.26 × 1,084.58
  4. Step 4: Simplify right side
    1,582.83x = 2,366,830.79
  5. Step 5: Solve for x
    x = 2,366,830.79/1,582.83
  6. Step 6: Final answer
    x = 1,495.32

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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.