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Finding the Fourth Proportional to 20,760, 28,649.28 and 11,328.96

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Solution

The fourth proportional to 20,760, 28,649.28 and 11,328.96 is: 15,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760 : 28,649.28 = 11,328.96 : x
  2. Step 2: Convert to fraction form
    20,760/28,649.28 = 11,328.96/x
  3. Step 3: Cross multiply
    20,760x = 28,649.28 × 11,328.96
  4. Step 4: Simplify right side
    20,760x = 324,566,547.15
  5. Step 5: Solve for x
    x = 324,566,547.15/20,760
  6. Step 6: Final answer
    x = 15,634.23

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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.