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Finding the Fourth Proportional to 7,821.42, 11,732.07 and 1,978.02

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Solution

The fourth proportional to 7,821.42, 11,732.07 and 1,978.02 is: 2,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.42 : 11,732.07 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    7,821.42/11,732.07 = 1,978.02/x
  3. Step 3: Cross multiply
    7,821.42x = 11,732.07 × 1,978.02
  4. Step 4: Simplify right side
    7,821.42x = 23,206,269.10
  5. Step 5: Solve for x
    x = 23,206,269.10/7,821.42
  6. Step 6: Final answer
    x = 2,967.01

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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.