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Finding the Fourth Proportional to 1,809.76, 2,482.20 and 1,673.68

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Solution

The fourth proportional to 1,809.76, 2,482.20 and 1,673.68 is: 2,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.76 : 2,482.20 = 1,673.68 : x
  2. Step 2: Convert to fraction form
    1,809.76/2,482.20 = 1,673.68/x
  3. Step 3: Cross multiply
    1,809.76x = 2,482.20 × 1,673.68
  4. Step 4: Simplify right side
    1,809.76x = 4,154,408.50
  5. Step 5: Solve for x
    x = 4,154,408.50/1,809.76
  6. Step 6: Final answer
    x = 2,295.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.