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Finding the Fourth Proportional to 30,986, 46,486.29 and 10,209.50

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Solution

The fourth proportional to 30,986, 46,486.29 and 10,209.50 is: 15,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986 : 46,486.29 = 10,209.50 : x
  2. Step 2: Convert to fraction form
    30,986/46,486.29 = 10,209.50/x
  3. Step 3: Cross multiply
    30,986x = 46,486.29 × 10,209.50
  4. Step 4: Simplify right side
    30,986x = 474,601,777.76
  5. Step 5: Solve for x
    x = 474,601,777.76/30,986
  6. Step 6: Final answer
    x = 15,316.65

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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.