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Finding the Fourth Proportional to 12,465.50, 18,706.35 and 6,626.21

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Solution

The fourth proportional to 12,465.50, 18,706.35 and 6,626.21 is: 9,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.50 : 18,706.35 = 6,626.21 : x
  2. Step 2: Convert to fraction form
    12,465.50/18,706.35 = 6,626.21/x
  3. Step 3: Cross multiply
    12,465.50x = 18,706.35 × 6,626.21
  4. Step 4: Simplify right side
    12,465.50x = 123,952,275.05
  5. Step 5: Solve for x
    x = 123,952,275.05/12,465.50
  6. Step 6: Final answer
    x = 9,943.62

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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.