Home / 7,821.08-11,731.16-2,274.30

Finding the Fourth Proportional to 7,821.08, 11,731.16 and 2,274.30

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Solution

The fourth proportional to 7,821.08, 11,731.16 and 2,274.30 is: 3,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.08 : 11,731.16 = 2,274.30 : x
  2. Step 2: Convert to fraction form
    7,821.08/11,731.16 = 2,274.30/x
  3. Step 3: Cross multiply
    7,821.08x = 11,731.16 × 2,274.30
  4. Step 4: Simplify right side
    7,821.08x = 26,680,177.19
  5. Step 5: Solve for x
    x = 26,680,177.19/7,821.08
  6. Step 6: Final answer
    x = 3,411.32

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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.