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Finding the Fourth Proportional to 3,245, 4,478.10 and 1,773

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Solution

The fourth proportional to 3,245, 4,478.10 and 1,773 is: 2,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245 : 4,478.10 = 1,773 : x
  2. Step 2: Convert to fraction form
    3,245/4,478.10 = 1,773/x
  3. Step 3: Cross multiply
    3,245x = 4,478.10 × 1,773
  4. Step 4: Simplify right side
    3,245x = 7,939,671.30
  5. Step 5: Solve for x
    x = 7,939,671.30/3,245
  6. Step 6: Final answer
    x = 2,446.74

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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.