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Finding the Fourth Proportional to 7,822, 10,794.12 and 4,285.12

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Solution

The fourth proportional to 7,822, 10,794.12 and 4,285.12 is: 5,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822 : 10,794.12 = 4,285.12 : x
  2. Step 2: Convert to fraction form
    7,822/10,794.12 = 4,285.12/x
  3. Step 3: Cross multiply
    7,822x = 10,794.12 × 4,285.12
  4. Step 4: Simplify right side
    7,822x = 46,254,099.49
  5. Step 5: Solve for x
    x = 46,254,099.49/7,822
  6. Step 6: Final answer
    x = 5,913.33

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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.