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Finding the Fourth Proportional to 13,580.87, 18,741.27 and 7,531.08

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Solution

The fourth proportional to 13,580.87, 18,741.27 and 7,531.08 is: 10,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.87 : 18,741.27 = 7,531.08 : x
  2. Step 2: Convert to fraction form
    13,580.87/18,741.27 = 7,531.08/x
  3. Step 3: Cross multiply
    13,580.87x = 18,741.27 × 7,531.08
  4. Step 4: Simplify right side
    13,580.87x = 141,142,003.67
  5. Step 5: Solve for x
    x = 141,142,003.67/13,580.87
  6. Step 6: Final answer
    x = 10,392.71

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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.