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Finding the Fourth Proportional to 30,910.62, 46,357.29 and 13,378.62

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Solution

The fourth proportional to 30,910.62, 46,357.29 and 13,378.62 is: 20,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.62 : 46,357.29 = 13,378.62 : x
  2. Step 2: Convert to fraction form
    30,910.62/46,357.29 = 13,378.62/x
  3. Step 3: Cross multiply
    30,910.62x = 46,357.29 × 13,378.62
  4. Step 4: Simplify right side
    30,910.62x = 620,196,567.14
  5. Step 5: Solve for x
    x = 620,196,567.14/30,910.62
  6. Step 6: Final answer
    x = 20,064.19

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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.