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Finding the Fourth Proportional to 30,805.31, 46,208.07 and 7,431.75

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Solution

The fourth proportional to 30,805.31, 46,208.07 and 7,431.75 is: 11,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.31 : 46,208.07 = 7,431.75 : x
  2. Step 2: Convert to fraction form
    30,805.31/46,208.07 = 7,431.75/x
  3. Step 3: Cross multiply
    30,805.31x = 46,208.07 × 7,431.75
  4. Step 4: Simplify right side
    30,805.31x = 343,406,824.22
  5. Step 5: Solve for x
    x = 343,406,824.22/30,805.31
  6. Step 6: Final answer
    x = 11,147.65

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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.