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Finding the Fourth Proportional to 8,716.84, 13,075.14 and 2,143.08

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Solution

The fourth proportional to 8,716.84, 13,075.14 and 2,143.08 is: 3,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.84 : 13,075.14 = 2,143.08 : x
  2. Step 2: Convert to fraction form
    8,716.84/13,075.14 = 2,143.08/x
  3. Step 3: Cross multiply
    8,716.84x = 13,075.14 × 2,143.08
  4. Step 4: Simplify right side
    8,716.84x = 28,021,048.63
  5. Step 5: Solve for x
    x = 28,021,048.63/8,716.84
  6. Step 6: Final answer
    x = 3,214.59

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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.