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Finding the Fourth Proportional to 14,918.84, 20,587.45 and 8,204.40

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Solution

The fourth proportional to 14,918.84, 20,587.45 and 8,204.40 is: 11,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.84 : 20,587.45 = 8,204.40 : x
  2. Step 2: Convert to fraction form
    14,918.84/20,587.45 = 8,204.40/x
  3. Step 3: Cross multiply
    14,918.84x = 20,587.45 × 8,204.40
  4. Step 4: Simplify right side
    14,918.84x = 168,907,654.27
  5. Step 5: Solve for x
    x = 168,907,654.27/14,918.84
  6. Step 6: Final answer
    x = 11,321.77

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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.