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Finding the Fourth Proportional to 7,844.79, 10,825.98 and 4,307.97

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Solution

The fourth proportional to 7,844.79, 10,825.98 and 4,307.97 is: 5,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.79 : 10,825.98 = 4,307.97 : x
  2. Step 2: Convert to fraction form
    7,844.79/10,825.98 = 4,307.97/x
  3. Step 3: Cross multiply
    7,844.79x = 10,825.98 × 4,307.97
  4. Step 4: Simplify right side
    7,844.79x = 46,637,997.06
  5. Step 5: Solve for x
    x = 46,637,997.06/7,844.79
  6. Step 6: Final answer
    x = 5,945.09

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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.