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Finding the Fourth Proportional to 13,886.56, 20,820.58 and 7,649.49

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Solution

The fourth proportional to 13,886.56, 20,820.58 and 7,649.49 is: 11,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.56 : 20,820.58 = 7,649.49 : x
  2. Step 2: Convert to fraction form
    13,886.56/20,820.58 = 7,649.49/x
  3. Step 3: Cross multiply
    13,886.56x = 20,820.58 × 7,649.49
  4. Step 4: Simplify right side
    13,886.56x = 159,266,818.50
  5. Step 5: Solve for x
    x = 159,266,818.50/13,886.56
  6. Step 6: Final answer
    x = 11,469.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.