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Finding the Fourth Proportional to 30,975.69, 42,750.09 and 18,400.44

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Solution

The fourth proportional to 30,975.69, 42,750.09 and 18,400.44 is: 25,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.69 : 42,750.09 = 18,400.44 : x
  2. Step 2: Convert to fraction form
    30,975.69/42,750.09 = 18,400.44/x
  3. Step 3: Cross multiply
    30,975.69x = 42,750.09 × 18,400.44
  4. Step 4: Simplify right side
    30,975.69x = 786,620,466.04
  5. Step 5: Solve for x
    x = 786,620,466.04/30,975.69
  6. Step 6: Final answer
    x = 25,394.77

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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.