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Finding the Fourth Proportional to 14,918.76, 20,586.48 and 8,204.28

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Solution

The fourth proportional to 14,918.76, 20,586.48 and 8,204.28 is: 11,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.76 : 20,586.48 = 8,204.28 : x
  2. Step 2: Convert to fraction form
    14,918.76/20,586.48 = 8,204.28/x
  3. Step 3: Cross multiply
    14,918.76x = 20,586.48 × 8,204.28
  4. Step 4: Simplify right side
    14,918.76x = 168,897,246.13
  5. Step 5: Solve for x
    x = 168,897,246.13/14,918.76
  6. Step 6: Final answer
    x = 11,321.13

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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.