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Finding the Fourth Proportional to 8,985, 13,477.50 and 4,121

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Solution

The fourth proportional to 8,985, 13,477.50 and 4,121 is: 6,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985 : 13,477.50 = 4,121 : x
  2. Step 2: Convert to fraction form
    8,985/13,477.50 = 4,121/x
  3. Step 3: Cross multiply
    8,985x = 13,477.50 × 4,121
  4. Step 4: Simplify right side
    8,985x = 55,540,777.50
  5. Step 5: Solve for x
    x = 55,540,777.50/8,985
  6. Step 6: Final answer
    x = 6,181.50

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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.