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Finding the Fourth Proportional to 2,309.63, 3,462.75 and 848.79

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Solution

The fourth proportional to 2,309.63, 3,462.75 and 848.79 is: 1,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.63 : 3,462.75 = 848.79 : x
  2. Step 2: Convert to fraction form
    2,309.63/3,462.75 = 848.79/x
  3. Step 3: Cross multiply
    2,309.63x = 3,462.75 × 848.79
  4. Step 4: Simplify right side
    2,309.63x = 2,939,147.57
  5. Step 5: Solve for x
    x = 2,939,147.57/2,309.63
  6. Step 6: Final answer
    x = 1,272.56

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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.