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Finding the Fourth Proportional to 12,165.21, 16,788 and 6,576.21

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Solution

The fourth proportional to 12,165.21, 16,788 and 6,576.21 is: 9,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.21 : 16,788 = 6,576.21 : x
  2. Step 2: Convert to fraction form
    12,165.21/16,788 = 6,576.21/x
  3. Step 3: Cross multiply
    12,165.21x = 16,788 × 6,576.21
  4. Step 4: Simplify right side
    12,165.21x = 110,401,413.48
  5. Step 5: Solve for x
    x = 110,401,413.48/12,165.21
  6. Step 6: Final answer
    x = 9,075.18

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1.5x scale

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.