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Finding the Fourth Proportional to 13,222.74, 18,244.50 and 7,630.50

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Solution

The fourth proportional to 13,222.74, 18,244.50 and 7,630.50 is: 10,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.74 : 18,244.50 = 7,630.50 : x
  2. Step 2: Convert to fraction form
    13,222.74/18,244.50 = 7,630.50/x
  3. Step 3: Cross multiply
    13,222.74x = 18,244.50 × 7,630.50
  4. Step 4: Simplify right side
    13,222.74x = 139,214,657.25
  5. Step 5: Solve for x
    x = 139,214,657.25/13,222.74
  6. Step 6: Final answer
    x = 10,528.43

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1.5x scale

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.