Home / 1,582.64-2,182.92-1,057.76

Finding the Fourth Proportional to 1,582.64, 2,182.92 and 1,057.76

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Solution

The fourth proportional to 1,582.64, 2,182.92 and 1,057.76 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.64 : 2,182.92 = 1,057.76 : x
  2. Step 2: Convert to fraction form
    1,582.64/2,182.92 = 1,057.76/x
  3. Step 3: Cross multiply
    1,582.64x = 2,182.92 × 1,057.76
  4. Step 4: Simplify right side
    1,582.64x = 2,309,005.46
  5. Step 5: Solve for x
    x = 2,309,005.46/1,582.64
  6. Step 6: Final answer
    x = 1,458.96

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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.