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Finding the Fourth Proportional to 7,844.60, 10,825.70 and 4,308

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Solution

The fourth proportional to 7,844.60, 10,825.70 and 4,308 is: 5,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.60 : 10,825.70 = 4,308 : x
  2. Step 2: Convert to fraction form
    7,844.60/10,825.70 = 4,308/x
  3. Step 3: Cross multiply
    7,844.60x = 10,825.70 × 4,308
  4. Step 4: Simplify right side
    7,844.60x = 46,637,094.06
  5. Step 5: Solve for x
    x = 46,637,094.06/7,844.60
  6. Step 6: Final answer
    x = 5,945.12

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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.