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Finding the Fourth Proportional to 7,843.77, 10,824.41 and 4,307.20

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Solution

The fourth proportional to 7,843.77, 10,824.41 and 4,307.20 is: 5,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.77 : 10,824.41 = 4,307.20 : x
  2. Step 2: Convert to fraction form
    7,843.77/10,824.41 = 4,307.20/x
  3. Step 3: Cross multiply
    7,843.77x = 10,824.41 × 4,307.20
  4. Step 4: Simplify right side
    7,843.77x = 46,622,898.75
  5. Step 5: Solve for x
    x = 46,622,898.75/7,843.77
  6. Step 6: Final answer
    x = 5,943.94

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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.