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Finding the Fourth Proportional to 15,031.56, 20,743.44 and 8,407.56

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Solution

The fourth proportional to 15,031.56, 20,743.44 and 8,407.56 is: 11,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.56 : 20,743.44 = 8,407.56 : x
  2. Step 2: Convert to fraction form
    15,031.56/20,743.44 = 8,407.56/x
  3. Step 3: Cross multiply
    15,031.56x = 20,743.44 × 8,407.56
  4. Step 4: Simplify right side
    15,031.56x = 174,401,716.41
  5. Step 5: Solve for x
    x = 174,401,716.41/15,031.56
  6. Step 6: Final answer
    x = 11,602.37

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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.