Home / 1,582.48-2,182.64-1,084.56

Finding the Fourth Proportional to 1,582.48, 2,182.64 and 1,084.56

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Solution

The fourth proportional to 1,582.48, 2,182.64 and 1,084.56 is: 1,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.48 : 2,182.64 = 1,084.56 : x
  2. Step 2: Convert to fraction form
    1,582.48/2,182.64 = 1,084.56/x
  3. Step 3: Cross multiply
    1,582.48x = 2,182.64 × 1,084.56
  4. Step 4: Simplify right side
    1,582.48x = 2,367,204.04
  5. Step 5: Solve for x
    x = 2,367,204.04/1,582.48
  6. Step 6: Final answer
    x = 1,495.88

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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.