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Finding the Fourth Proportional to 12,658.50, 18,992.82 and 6,415.14

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Solution

The fourth proportional to 12,658.50, 18,992.82 and 6,415.14 is: 9,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.50 : 18,992.82 = 6,415.14 : x
  2. Step 2: Convert to fraction form
    12,658.50/18,992.82 = 6,415.14/x
  3. Step 3: Cross multiply
    12,658.50x = 18,992.82 × 6,415.14
  4. Step 4: Simplify right side
    12,658.50x = 121,841,599.29
  5. Step 5: Solve for x
    x = 121,841,599.29/12,658.50
  6. Step 6: Final answer
    x = 9,625.28

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1.5x scale

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.