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Finding the Fourth Proportional to 2,866.24, 3,954.18 and 1,921.06

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Solution

The fourth proportional to 2,866.24, 3,954.18 and 1,921.06 is: 2,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.24 : 3,954.18 = 1,921.06 : x
  2. Step 2: Convert to fraction form
    2,866.24/3,954.18 = 1,921.06/x
  3. Step 3: Cross multiply
    2,866.24x = 3,954.18 × 1,921.06
  4. Step 4: Simplify right side
    2,866.24x = 7,596,217.03
  5. Step 5: Solve for x
    x = 7,596,217.03/2,866.24
  6. Step 6: Final answer
    x = 2,650.24

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1.5x scale

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.