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Finding the Fourth Proportional to 7,833, 10,809.18 and 4,690.92

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Solution

The fourth proportional to 7,833, 10,809.18 and 4,690.92 is: 6,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 10,809.18 = 4,690.92 : x
  2. Step 2: Convert to fraction form
    7,833/10,809.18 = 4,690.92/x
  3. Step 3: Cross multiply
    7,833x = 10,809.18 × 4,690.92
  4. Step 4: Simplify right side
    7,833x = 50,704,998.65
  5. Step 5: Solve for x
    x = 50,704,998.65/7,833
  6. Step 6: Final answer
    x = 6,473.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.