Home / 2,161.48-2,977.86-2,101

Finding the Fourth Proportional to 2,161.48, 2,977.86 and 2,101

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Solution

The fourth proportional to 2,161.48, 2,977.86 and 2,101 is: 2,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.48 : 2,977.86 = 2,101 : x
  2. Step 2: Convert to fraction form
    2,161.48/2,977.86 = 2,101/x
  3. Step 3: Cross multiply
    2,161.48x = 2,977.86 × 2,101
  4. Step 4: Simplify right side
    2,161.48x = 6,256,483.86
  5. Step 5: Solve for x
    x = 6,256,483.86/2,161.48
  6. Step 6: Final answer
    x = 2,894.54

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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.