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Finding the Fourth Proportional to 30,409.65, 41,978.12 and 18,476.80

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Solution

The fourth proportional to 30,409.65, 41,978.12 and 18,476.80 is: 25,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.65 : 41,978.12 = 18,476.80 : x
  2. Step 2: Convert to fraction form
    30,409.65/41,978.12 = 18,476.80/x
  3. Step 3: Cross multiply
    30,409.65x = 41,978.12 × 18,476.80
  4. Step 4: Simplify right side
    30,409.65x = 775,621,130.29
  5. Step 5: Solve for x
    x = 775,621,130.29/30,409.65
  6. Step 6: Final answer
    x = 25,505.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.