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Finding the Fourth Proportional to 12,647.56, 18,982.80 and 6,411.90

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Solution

The fourth proportional to 12,647.56, 18,982.80 and 6,411.90 is: 9,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.56 : 18,982.80 = 6,411.90 : x
  2. Step 2: Convert to fraction form
    12,647.56/18,982.80 = 6,411.90/x
  3. Step 3: Cross multiply
    12,647.56x = 18,982.80 × 6,411.90
  4. Step 4: Simplify right side
    12,647.56x = 121,715,815.32
  5. Step 5: Solve for x
    x = 121,715,815.32/12,647.56
  6. Step 6: Final answer
    x = 9,623.66

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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.