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Finding the Fourth Proportional to 7,843.81, 10,825.12 and 4,307.71

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Solution

The fourth proportional to 7,843.81, 10,825.12 and 4,307.71 is: 5,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.81 : 10,825.12 = 4,307.71 : x
  2. Step 2: Convert to fraction form
    7,843.81/10,825.12 = 4,307.71/x
  3. Step 3: Cross multiply
    7,843.81x = 10,825.12 × 4,307.71
  4. Step 4: Simplify right side
    7,843.81x = 46,631,423.55
  5. Step 5: Solve for x
    x = 46,631,423.55/7,843.81
  6. Step 6: Final answer
    x = 5,945.00

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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.