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Finding the Fourth Proportional to 30,805.40, 46,207.68 and 7,431.64

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Solution

The fourth proportional to 30,805.40, 46,207.68 and 7,431.64 is: 11,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.40 : 46,207.68 = 7,431.64 : x
  2. Step 2: Convert to fraction form
    30,805.40/46,207.68 = 7,431.64/x
  3. Step 3: Cross multiply
    30,805.40x = 46,207.68 × 7,431.64
  4. Step 4: Simplify right side
    30,805.40x = 343,398,843.00
  5. Step 5: Solve for x
    x = 343,398,843.00/30,805.40
  6. Step 6: Final answer
    x = 11,147.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.