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Finding the Fourth Proportional to 12,316.85, 18,471.90 and 4,417.90

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Solution

The fourth proportional to 12,316.85, 18,471.90 and 4,417.90 is: 6,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.85 : 18,471.90 = 4,417.90 : x
  2. Step 2: Convert to fraction form
    12,316.85/18,471.90 = 4,417.90/x
  3. Step 3: Cross multiply
    12,316.85x = 18,471.90 × 4,417.90
  4. Step 4: Simplify right side
    12,316.85x = 81,606,914.65
  5. Step 5: Solve for x
    x = 81,606,914.65/12,316.85
  6. Step 6: Final answer
    x = 6,625.63

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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.