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Finding the Fourth Proportional to 4,770, 7,150.14 and 1,998.18

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Solution

The fourth proportional to 4,770, 7,150.14 and 1,998.18 is: 2,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770 : 7,150.14 = 1,998.18 : x
  2. Step 2: Convert to fraction form
    4,770/7,150.14 = 1,998.18/x
  3. Step 3: Cross multiply
    4,770x = 7,150.14 × 1,998.18
  4. Step 4: Simplify right side
    4,770x = 14,287,266.75
  5. Step 5: Solve for x
    x = 14,287,266.75/4,770
  6. Step 6: Final answer
    x = 2,995.23

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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.