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Finding the Fourth Proportional to 12,713, 19,075.26 and 6,137.96

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Solution

The fourth proportional to 12,713, 19,075.26 and 6,137.96 is: 9,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713 : 19,075.26 = 6,137.96 : x
  2. Step 2: Convert to fraction form
    12,713/19,075.26 = 6,137.96/x
  3. Step 3: Cross multiply
    12,713x = 19,075.26 × 6,137.96
  4. Step 4: Simplify right side
    12,713x = 117,083,182.87
  5. Step 5: Solve for x
    x = 117,083,182.87/12,713
  6. Step 6: Final answer
    x = 9,209.72

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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.