Home / 7,821.24-11,731.80-1,977.84

Finding the Fourth Proportional to 7,821.24, 11,731.80 and 1,977.84

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Solution

The fourth proportional to 7,821.24, 11,731.80 and 1,977.84 is: 2,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.24 : 11,731.80 = 1,977.84 : x
  2. Step 2: Convert to fraction form
    7,821.24/11,731.80 = 1,977.84/x
  3. Step 3: Cross multiply
    7,821.24x = 11,731.80 × 1,977.84
  4. Step 4: Simplify right side
    7,821.24x = 23,203,623.31
  5. Step 5: Solve for x
    x = 23,203,623.31/7,821.24
  6. Step 6: Final answer
    x = 2,966.74

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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.