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Finding the Fourth Proportional to 30,287.40, 41,802.64 and 17,542.68

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Solution

The fourth proportional to 30,287.40, 41,802.64 and 17,542.68 is: 24,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.40 : 41,802.64 = 17,542.68 : x
  2. Step 2: Convert to fraction form
    30,287.40/41,802.64 = 17,542.68/x
  3. Step 3: Cross multiply
    30,287.40x = 41,802.64 × 17,542.68
  4. Step 4: Simplify right side
    30,287.40x = 733,330,336.68
  5. Step 5: Solve for x
    x = 733,330,336.68/30,287.40
  6. Step 6: Final answer
    x = 24,212.39

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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.