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Finding the Fourth Proportional to 30,945, 42,709.50 and 18,369.48

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Solution

The fourth proportional to 30,945, 42,709.50 and 18,369.48 is: 25,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945 : 42,709.50 = 18,369.48 : x
  2. Step 2: Convert to fraction form
    30,945/42,709.50 = 18,369.48/x
  3. Step 3: Cross multiply
    30,945x = 42,709.50 × 18,369.48
  4. Step 4: Simplify right side
    30,945x = 784,551,306.06
  5. Step 5: Solve for x
    x = 784,551,306.06/30,945
  6. Step 6: Final answer
    x = 25,353.09

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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.