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Finding the Fourth Proportional to 12,418.61, 17,137.67 and 6,829.61

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Solution

The fourth proportional to 12,418.61, 17,137.67 and 6,829.61 is: 9,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.61 : 17,137.67 = 6,829.61 : x
  2. Step 2: Convert to fraction form
    12,418.61/17,137.67 = 6,829.61/x
  3. Step 3: Cross multiply
    12,418.61x = 17,137.67 × 6,829.61
  4. Step 4: Simplify right side
    12,418.61x = 117,043,482.57
  5. Step 5: Solve for x
    x = 117,043,482.57/12,418.61
  6. Step 6: Final answer
    x = 9,424.85

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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.