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Finding the Fourth Proportional to 7,821.65, 11,730.41 and 2,892.70

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Solution

The fourth proportional to 7,821.65, 11,730.41 and 2,892.70 is: 4,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.65 : 11,730.41 = 2,892.70 : x
  2. Step 2: Convert to fraction form
    7,821.65/11,730.41 = 2,892.70/x
  3. Step 3: Cross multiply
    7,821.65x = 11,730.41 × 2,892.70
  4. Step 4: Simplify right side
    7,821.65x = 33,932,498.35
  5. Step 5: Solve for x
    x = 33,932,498.35/7,821.65
  6. Step 6: Final answer
    x = 4,338.28

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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.