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Finding the Fourth Proportional to 2,653.44, 3,980.42 and 1,009.55

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Solution

The fourth proportional to 2,653.44, 3,980.42 and 1,009.55 is: 1,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.44 : 3,980.42 = 1,009.55 : x
  2. Step 2: Convert to fraction form
    2,653.44/3,980.42 = 1,009.55/x
  3. Step 3: Cross multiply
    2,653.44x = 3,980.42 × 1,009.55
  4. Step 4: Simplify right side
    2,653.44x = 4,018,408.06
  5. Step 5: Solve for x
    x = 4,018,408.06/2,653.44
  6. Step 6: Final answer
    x = 1,514.41

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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.