Home / 2,111.01-3,166.52-1,287.64

Finding the Fourth Proportional to 2,111.01, 3,166.52 and 1,287.64

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Solution

The fourth proportional to 2,111.01, 3,166.52 and 1,287.64 is: 1,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.01 : 3,166.52 = 1,287.64 : x
  2. Step 2: Convert to fraction form
    2,111.01/3,166.52 = 1,287.64/x
  3. Step 3: Cross multiply
    2,111.01x = 3,166.52 × 1,287.64
  4. Step 4: Simplify right side
    2,111.01x = 4,077,323.46
  5. Step 5: Solve for x
    x = 4,077,323.46/2,111.01
  6. Step 6: Final answer
    x = 1,931.46

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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.