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Finding the Fourth Proportional to 13,466.32, 18,580.71 and 7,800.73

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Solution

The fourth proportional to 13,466.32, 18,580.71 and 7,800.73 is: 10,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.32 : 18,580.71 = 7,800.73 : x
  2. Step 2: Convert to fraction form
    13,466.32/18,580.71 = 7,800.73/x
  3. Step 3: Cross multiply
    13,466.32x = 18,580.71 × 7,800.73
  4. Step 4: Simplify right side
    13,466.32x = 144,943,101.92
  5. Step 5: Solve for x
    x = 144,943,101.92/13,466.32
  6. Step 6: Final answer
    x = 10,763.38

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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.