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Finding the Fourth Proportional to 30,409.53, 41,994.14 and 28,752.90

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Solution

The fourth proportional to 30,409.53, 41,994.14 and 28,752.90 is: 39,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.53 : 41,994.14 = 28,752.90 : x
  2. Step 2: Convert to fraction form
    30,409.53/41,994.14 = 28,752.90/x
  3. Step 3: Cross multiply
    30,409.53x = 41,994.14 × 28,752.90
  4. Step 4: Simplify right side
    30,409.53x = 1,207,453,164.24
  5. Step 5: Solve for x
    x = 1,207,453,164.24/30,409.53
  6. Step 6: Final answer
    x = 39,706.41

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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.