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Finding the Fourth Proportional to 4,971.12, 7,449.96 and 1,891.44

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Solution

The fourth proportional to 4,971.12, 7,449.96 and 1,891.44 is: 2,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.12 : 7,449.96 = 1,891.44 : x
  2. Step 2: Convert to fraction form
    4,971.12/7,449.96 = 1,891.44/x
  3. Step 3: Cross multiply
    4,971.12x = 7,449.96 × 1,891.44
  4. Step 4: Simplify right side
    4,971.12x = 14,091,152.34
  5. Step 5: Solve for x
    x = 14,091,152.34/4,971.12
  6. Step 6: Final answer
    x = 2,834.60

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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.