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Finding the Fourth Proportional to 13,466.40, 18,585.90 and 8,685

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Solution

The fourth proportional to 13,466.40, 18,585.90 and 8,685 is: 11,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.40 : 18,585.90 = 8,685 : x
  2. Step 2: Convert to fraction form
    13,466.40/18,585.90 = 8,685/x
  3. Step 3: Cross multiply
    13,466.40x = 18,585.90 × 8,685
  4. Step 4: Simplify right side
    13,466.40x = 161,418,541.50
  5. Step 5: Solve for x
    x = 161,418,541.50/13,466.40
  6. Step 6: Final answer
    x = 11,986.76

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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.