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Finding the Fourth Proportional to 30,258.80, 41,756.76 and 16,830

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Solution

The fourth proportional to 30,258.80, 41,756.76 and 16,830 is: 23,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.80 : 41,756.76 = 16,830 : x
  2. Step 2: Convert to fraction form
    30,258.80/41,756.76 = 16,830/x
  3. Step 3: Cross multiply
    30,258.80x = 41,756.76 × 16,830
  4. Step 4: Simplify right side
    30,258.80x = 702,766,270.80
  5. Step 5: Solve for x
    x = 702,766,270.80/30,258.80
  6. Step 6: Final answer
    x = 23,225.19

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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.