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Finding the Fourth Proportional to 7,843.95, 10,824.67 and 4,307.39

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Solution

The fourth proportional to 7,843.95, 10,824.67 and 4,307.39 is: 5,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.95 : 10,824.67 = 4,307.39 : x
  2. Step 2: Convert to fraction form
    7,843.95/10,824.67 = 4,307.39/x
  3. Step 3: Cross multiply
    7,843.95x = 10,824.67 × 4,307.39
  4. Step 4: Simplify right side
    7,843.95x = 46,626,075.31
  5. Step 5: Solve for x
    x = 46,626,075.31/7,843.95
  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.