Home / 1,313.92-1,973.52-1,027.12

Finding the Fourth Proportional to 1,313.92, 1,973.52 and 1,027.12

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Solution

The fourth proportional to 1,313.92, 1,973.52 and 1,027.12 is: 1,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.92 : 1,973.52 = 1,027.12 : x
  2. Step 2: Convert to fraction form
    1,313.92/1,973.52 = 1,027.12/x
  3. Step 3: Cross multiply
    1,313.92x = 1,973.52 × 1,027.12
  4. Step 4: Simplify right side
    1,313.92x = 2,027,041.86
  5. Step 5: Solve for x
    x = 2,027,041.86/1,313.92
  6. Step 6: Final answer
    x = 1,542.74

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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.