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Finding the Fourth Proportional to 13,580.68, 18,743.54 and 8,129.40

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Solution

The fourth proportional to 13,580.68, 18,743.54 and 8,129.40 is: 11,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.68 : 18,743.54 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    13,580.68/18,743.54 = 8,129.40/x
  3. Step 3: Cross multiply
    13,580.68x = 18,743.54 × 8,129.40
  4. Step 4: Simplify right side
    13,580.68x = 152,373,734.08
  5. Step 5: Solve for x
    x = 152,373,734.08/13,580.68
  6. Step 6: Final answer
    x = 11,219.89

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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.