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Finding the Fourth Proportional to 14,880, 20,534.64 and 8,256

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Solution

The fourth proportional to 14,880, 20,534.64 and 8,256 is: 11,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880 : 20,534.64 = 8,256 : x
  2. Step 2: Convert to fraction form
    14,880/20,534.64 = 8,256/x
  3. Step 3: Cross multiply
    14,880x = 20,534.64 × 8,256
  4. Step 4: Simplify right side
    14,880x = 169,533,987.84
  5. Step 5: Solve for x
    x = 169,533,987.84/14,880
  6. Step 6: Final answer
    x = 11,393.41

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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.