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Finding the Fourth Proportional to 12,751.53, 17,591.63 and 7,644.21

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Solution

The fourth proportional to 12,751.53, 17,591.63 and 7,644.21 is: 10,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.53 : 17,591.63 = 7,644.21 : x
  2. Step 2: Convert to fraction form
    12,751.53/17,591.63 = 7,644.21/x
  3. Step 3: Cross multiply
    12,751.53x = 17,591.63 × 7,644.21
  4. Step 4: Simplify right side
    12,751.53x = 134,474,075.74
  5. Step 5: Solve for x
    x = 134,474,075.74/12,751.53
  6. Step 6: Final answer
    x = 10,545.72

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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.