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Finding the Fourth Proportional to 38,008.96, 52,449.42 and 21,013

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Solution

The fourth proportional to 38,008.96, 52,449.42 and 21,013 is: 28,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.96 : 52,449.42 = 21,013 : x
  2. Step 2: Convert to fraction form
    38,008.96/52,449.42 = 21,013/x
  3. Step 3: Cross multiply
    38,008.96x = 52,449.42 × 21,013
  4. Step 4: Simplify right side
    38,008.96x = 1,102,119,662.46
  5. Step 5: Solve for x
    x = 1,102,119,662.46/38,008.96
  6. Step 6: Final answer
    x = 28,996.31

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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.