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Finding the Fourth Proportional to 2,285, 3,152.40 and 1,445.39

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Solution

The fourth proportional to 2,285, 3,152.40 and 1,445.39 is: 1,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285 : 3,152.40 = 1,445.39 : x
  2. Step 2: Convert to fraction form
    2,285/3,152.40 = 1,445.39/x
  3. Step 3: Cross multiply
    2,285x = 3,152.40 × 1,445.39
  4. Step 4: Simplify right side
    2,285x = 4,556,447.44
  5. Step 5: Solve for x
    x = 4,556,447.44/2,285
  6. Step 6: Final answer
    x = 1,994.07

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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.