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Finding the Fourth Proportional to 15,090.81, 20,824.92 and 8,376.42

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Solution

The fourth proportional to 15,090.81, 20,824.92 and 8,376.42 is: 11,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.81 : 20,824.92 = 8,376.42 : x
  2. Step 2: Convert to fraction form
    15,090.81/20,824.92 = 8,376.42/x
  3. Step 3: Cross multiply
    15,090.81x = 20,824.92 × 8,376.42
  4. Step 4: Simplify right side
    15,090.81x = 174,438,276.39
  5. Step 5: Solve for x
    x = 174,438,276.39/15,090.81
  6. Step 6: Final answer
    x = 11,559.24

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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.