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Finding the Fourth Proportional to 18,971.74, 28,462.08 and 6,491.89

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Solution

The fourth proportional to 18,971.74, 28,462.08 and 6,491.89 is: 9,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.74 : 28,462.08 = 6,491.89 : x
  2. Step 2: Convert to fraction form
    18,971.74/28,462.08 = 6,491.89/x
  3. Step 3: Cross multiply
    18,971.74x = 28,462.08 × 6,491.89
  4. Step 4: Simplify right side
    18,971.74x = 184,772,692.53
  5. Step 5: Solve for x
    x = 184,772,692.53/18,971.74
  6. Step 6: Final answer
    x = 9,739.36

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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.