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Finding the Fourth Proportional to 38,661.50, 53,352.90 and 21,894.50

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Solution

The fourth proportional to 38,661.50, 53,352.90 and 21,894.50 is: 30,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.50 : 53,352.90 = 21,894.50 : x
  2. Step 2: Convert to fraction form
    38,661.50/53,352.90 = 21,894.50/x
  3. Step 3: Cross multiply
    38,661.50x = 53,352.90 × 21,894.50
  4. Step 4: Simplify right side
    38,661.50x = 1,168,135,069.05
  5. Step 5: Solve for x
    x = 1,168,135,069.05/38,661.50
  6. Step 6: Final answer
    x = 30,214.43

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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.