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Finding the Fourth Proportional to 4,690, 7,034.82 and 1,180.05

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Solution

The fourth proportional to 4,690, 7,034.82 and 1,180.05 is: 1,770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690 : 7,034.82 = 1,180.05 : x
  2. Step 2: Convert to fraction form
    4,690/7,034.82 = 1,180.05/x
  3. Step 3: Cross multiply
    4,690x = 7,034.82 × 1,180.05
  4. Step 4: Simplify right side
    4,690x = 8,301,439.34
  5. Step 5: Solve for x
    x = 8,301,439.34/4,690
  6. Step 6: Final answer
    x = 1,770.03

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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.