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Finding the Fourth Proportional to 13,153, 18,150.78 and 7,184.68

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Solution

The fourth proportional to 13,153, 18,150.78 and 7,184.68 is: 9,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 18,150.78 = 7,184.68 : x
  2. Step 2: Convert to fraction form
    13,153/18,150.78 = 7,184.68/x
  3. Step 3: Cross multiply
    13,153x = 18,150.78 × 7,184.68
  4. Step 4: Simplify right side
    13,153x = 130,407,546.05
  5. Step 5: Solve for x
    x = 130,407,546.05/13,153
  6. Step 6: Final answer
    x = 9,914.66

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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.