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Finding the Fourth Proportional to 7,843.97, 10,824.68 and 4,307.40

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Solution

The fourth proportional to 7,843.97, 10,824.68 and 4,307.40 is: 5,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.97 : 10,824.68 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    7,843.97/10,824.68 = 4,307.40/x
  3. Step 3: Cross multiply
    7,843.97x = 10,824.68 × 4,307.40
  4. Step 4: Simplify right side
    7,843.97x = 46,626,205.10
  5. Step 5: Solve for x
    x = 46,626,205.10/7,843.97
  6. Step 6: Final answer
    x = 5,944.21

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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.