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Finding the Fourth Proportional to 7,843.76, 10,824.56 and 4,307.12

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Solution

The fourth proportional to 7,843.76, 10,824.56 and 4,307.12 is: 5,943.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.76 : 10,824.56 = 4,307.12 : x
  2. Step 2: Convert to fraction form
    7,843.76/10,824.56 = 4,307.12/x
  3. Step 3: Cross multiply
    7,843.76x = 10,824.56 × 4,307.12
  4. Step 4: Simplify right side
    7,843.76x = 46,622,678.87
  5. Step 5: Solve for x
    x = 46,622,678.87/7,843.76
  6. Step 6: Final answer
    x = 5,943.92

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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.