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Finding the Fourth Proportional to 2,859.44, 4,287 and 1,214.92

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Solution

The fourth proportional to 2,859.44, 4,287 and 1,214.92 is: 1,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.44 : 4,287 = 1,214.92 : x
  2. Step 2: Convert to fraction form
    2,859.44/4,287 = 1,214.92/x
  3. Step 3: Cross multiply
    2,859.44x = 4,287 × 1,214.92
  4. Step 4: Simplify right side
    2,859.44x = 5,208,362.04
  5. Step 5: Solve for x
    x = 5,208,362.04/2,859.44
  6. Step 6: Final answer
    x = 1,821.46

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1.5x scale

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.