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Finding the Fourth Proportional to 4,704.80, 7,051.80 and 1,930.10

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Solution

The fourth proportional to 4,704.80, 7,051.80 and 1,930.10 is: 2,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.80 : 7,051.80 = 1,930.10 : x
  2. Step 2: Convert to fraction form
    4,704.80/7,051.80 = 1,930.10/x
  3. Step 3: Cross multiply
    4,704.80x = 7,051.80 × 1,930.10
  4. Step 4: Simplify right side
    4,704.80x = 13,610,679.18
  5. Step 5: Solve for x
    x = 13,610,679.18/4,704.80
  6. Step 6: Final answer
    x = 2,892.93

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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.