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Finding the Fourth Proportional to 7,821.60, 10,794 and 4,284.81

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Solution

The fourth proportional to 7,821.60, 10,794 and 4,284.81 is: 5,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.60 : 10,794 = 4,284.81 : x
  2. Step 2: Convert to fraction form
    7,821.60/10,794 = 4,284.81/x
  3. Step 3: Cross multiply
    7,821.60x = 10,794 × 4,284.81
  4. Step 4: Simplify right side
    7,821.60x = 46,250,239.14
  5. Step 5: Solve for x
    x = 46,250,239.14/7,821.60
  6. Step 6: Final answer
    x = 5,913.14

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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.