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Finding the Fourth Proportional to 30,110.50, 41,552.49 and 16,862.50

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Solution

The fourth proportional to 30,110.50, 41,552.49 and 16,862.50 is: 23,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,110.50 : 41,552.49 = 16,862.50 : x
  2. Step 2: Convert to fraction form
    30,110.50/41,552.49 = 16,862.50/x
  3. Step 3: Cross multiply
    30,110.50x = 41,552.49 × 16,862.50
  4. Step 4: Simplify right side
    30,110.50x = 700,678,862.63
  5. Step 5: Solve for x
    x = 700,678,862.63/30,110.50
  6. Step 6: Final answer
    x = 23,270.25

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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.