Home / 2,973.12-4,100.16-1,924

Finding the Fourth Proportional to 2,973.12, 4,100.16 and 1,924

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Solution

The fourth proportional to 2,973.12, 4,100.16 and 1,924 is: 2,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.12 : 4,100.16 = 1,924 : x
  2. Step 2: Convert to fraction form
    2,973.12/4,100.16 = 1,924/x
  3. Step 3: Cross multiply
    2,973.12x = 4,100.16 × 1,924
  4. Step 4: Simplify right side
    2,973.12x = 7,888,707.84
  5. Step 5: Solve for x
    x = 7,888,707.84/2,973.12
  6. Step 6: Final answer
    x = 2,653.34

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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.