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Finding the Fourth Proportional to 7,821.84, 10,794.16 and 4,285.28

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Solution

The fourth proportional to 7,821.84, 10,794.16 and 4,285.28 is: 5,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.84 : 10,794.16 = 4,285.28 : x
  2. Step 2: Convert to fraction form
    7,821.84/10,794.16 = 4,285.28/x
  3. Step 3: Cross multiply
    7,821.84x = 10,794.16 × 4,285.28
  4. Step 4: Simplify right side
    7,821.84x = 46,255,997.96
  5. Step 5: Solve for x
    x = 46,255,997.96/7,821.84
  6. Step 6: Final answer
    x = 5,913.70

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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.