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Finding the Fourth Proportional to 18,835.72, 28,242.64 and 7,142.56

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Solution

The fourth proportional to 18,835.72, 28,242.64 and 7,142.56 is: 10,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835.72 : 28,242.64 = 7,142.56 : x
  2. Step 2: Convert to fraction form
    18,835.72/28,242.64 = 7,142.56/x
  3. Step 3: Cross multiply
    18,835.72x = 28,242.64 × 7,142.56
  4. Step 4: Simplify right side
    18,835.72x = 201,724,750.76
  5. Step 5: Solve for x
    x = 201,724,750.76/18,835.72
  6. Step 6: Final answer
    x = 10,709.69

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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.