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Finding the Fourth Proportional to 30,969.84, 46,443 and 13,189.29

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Solution

The fourth proportional to 30,969.84, 46,443 and 13,189.29 is: 19,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.84 : 46,443 = 13,189.29 : x
  2. Step 2: Convert to fraction form
    30,969.84/46,443 = 13,189.29/x
  3. Step 3: Cross multiply
    30,969.84x = 46,443 × 13,189.29
  4. Step 4: Simplify right side
    30,969.84x = 612,550,195.47
  5. Step 5: Solve for x
    x = 612,550,195.47/30,969.84
  6. Step 6: Final answer
    x = 19,778.93

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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.