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Finding the Fourth Proportional to 8,344, 11,513.52 and 7,090.08

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Solution

The fourth proportional to 8,344, 11,513.52 and 7,090.08 is: 9,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 11,513.52 = 7,090.08 : x
  2. Step 2: Convert to fraction form
    8,344/11,513.52 = 7,090.08/x
  3. Step 3: Cross multiply
    8,344x = 11,513.52 × 7,090.08
  4. Step 4: Simplify right side
    8,344x = 81,631,777.88
  5. Step 5: Solve for x
    x = 81,631,777.88/8,344
  6. Step 6: Final answer
    x = 9,783.29

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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.