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Finding the Fourth Proportional to 30,872.80, 42,605.16 and 18,129.64

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Solution

The fourth proportional to 30,872.80, 42,605.16 and 18,129.64 is: 25,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.80 : 42,605.16 = 18,129.64 : x
  2. Step 2: Convert to fraction form
    30,872.80/42,605.16 = 18,129.64/x
  3. Step 3: Cross multiply
    30,872.80x = 42,605.16 × 18,129.64
  4. Step 4: Simplify right side
    30,872.80x = 772,416,212.94
  5. Step 5: Solve for x
    x = 772,416,212.94/30,872.80
  6. Step 6: Final answer
    x = 25,019.31

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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.