Home / 7,821.57-11,732.43-1,978.19

Finding the Fourth Proportional to 7,821.57, 11,732.43 and 1,978.19

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Solution

The fourth proportional to 7,821.57, 11,732.43 and 1,978.19 is: 2,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.57 : 11,732.43 = 1,978.19 : x
  2. Step 2: Convert to fraction form
    7,821.57/11,732.43 = 1,978.19/x
  3. Step 3: Cross multiply
    7,821.57x = 11,732.43 × 1,978.19
  4. Step 4: Simplify right side
    7,821.57x = 23,208,917.04
  5. Step 5: Solve for x
    x = 23,208,917.04/7,821.57
  6. Step 6: Final answer
    x = 2,967.30

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1.5x scale

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.