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Finding the Fourth Proportional to 2,653.47, 3,980.46 and 1,093.58

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Solution

The fourth proportional to 2,653.47, 3,980.46 and 1,093.58 is: 1,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.47 : 3,980.46 = 1,093.58 : x
  2. Step 2: Convert to fraction form
    2,653.47/3,980.46 = 1,093.58/x
  3. Step 3: Cross multiply
    2,653.47x = 3,980.46 × 1,093.58
  4. Step 4: Simplify right side
    2,653.47x = 4,352,938.76
  5. Step 5: Solve for x
    x = 4,352,938.76/2,653.47
  6. Step 6: Final answer
    x = 1,640.47

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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.