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Finding the Fourth Proportional to 8,709.92, 12,018 and 5,174.24

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Solution

The fourth proportional to 8,709.92, 12,018 and 5,174.24 is: 7,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.92 : 12,018 = 5,174.24 : x
  2. Step 2: Convert to fraction form
    8,709.92/12,018 = 5,174.24/x
  3. Step 3: Cross multiply
    8,709.92x = 12,018 × 5,174.24
  4. Step 4: Simplify right side
    8,709.92x = 62,184,016.32
  5. Step 5: Solve for x
    x = 62,184,016.32/8,709.92
  6. Step 6: Final answer
    x = 7,139.45

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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.