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Finding the Fourth Proportional to 8,271, 12,410.10 and 3,075.96

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Solution

The fourth proportional to 8,271, 12,410.10 and 3,075.96 is: 4,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 12,410.10 = 3,075.96 : x
  2. Step 2: Convert to fraction form
    8,271/12,410.10 = 3,075.96/x
  3. Step 3: Cross multiply
    8,271x = 12,410.10 × 3,075.96
  4. Step 4: Simplify right side
    8,271x = 38,172,971.20
  5. Step 5: Solve for x
    x = 38,172,971.20/8,271
  6. Step 6: Final answer
    x = 4,615.28

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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.