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Finding the Fourth Proportional to 20,160, 27,820.80 and 11,328

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Solution

The fourth proportional to 20,160, 27,820.80 and 11,328 is: 15,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160 : 27,820.80 = 11,328 : x
  2. Step 2: Convert to fraction form
    20,160/27,820.80 = 11,328/x
  3. Step 3: Cross multiply
    20,160x = 27,820.80 × 11,328
  4. Step 4: Simplify right side
    20,160x = 315,154,022.40
  5. Step 5: Solve for x
    x = 315,154,022.40/20,160
  6. Step 6: Final answer
    x = 15,632.64

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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.