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Finding the Fourth Proportional to 30,665.43, 45,970.43 and 10,939.30

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Solution

The fourth proportional to 30,665.43, 45,970.43 and 10,939.30 is: 16,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.43 : 45,970.43 = 10,939.30 : x
  2. Step 2: Convert to fraction form
    30,665.43/45,970.43 = 10,939.30/x
  3. Step 3: Cross multiply
    30,665.43x = 45,970.43 × 10,939.30
  4. Step 4: Simplify right side
    30,665.43x = 502,884,237.32
  5. Step 5: Solve for x
    x = 502,884,237.32/30,665.43
  6. Step 6: Final answer
    x = 16,399.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.