Home / 1,601.24-2,208.14-971.86

Finding the Fourth Proportional to 1,601.24, 2,208.14 and 971.86

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Solution

The fourth proportional to 1,601.24, 2,208.14 and 971.86 is: 1,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.24 : 2,208.14 = 971.86 : x
  2. Step 2: Convert to fraction form
    1,601.24/2,208.14 = 971.86/x
  3. Step 3: Cross multiply
    1,601.24x = 2,208.14 × 971.86
  4. Step 4: Simplify right side
    1,601.24x = 2,146,002.94
  5. Step 5: Solve for x
    x = 2,146,002.94/1,601.24
  6. Step 6: Final answer
    x = 1,340.21

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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.