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Finding the Fourth Proportional to 18,142.96, 27,207.45 and 7,048.19

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Solution

The fourth proportional to 18,142.96, 27,207.45 and 7,048.19 is: 10,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.96 : 27,207.45 = 7,048.19 : x
  2. Step 2: Convert to fraction form
    18,142.96/27,207.45 = 7,048.19/x
  3. Step 3: Cross multiply
    18,142.96x = 27,207.45 × 7,048.19
  4. Step 4: Simplify right side
    18,142.96x = 191,763,277.02
  5. Step 5: Solve for x
    x = 191,763,277.02/18,142.96
  6. Step 6: Final answer
    x = 10,569.57

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1.5x scale

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.