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Finding the Fourth Proportional to 14,917, 20,585.90 and 8,202.28

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Solution

The fourth proportional to 14,917, 20,585.90 and 8,202.28 is: 11,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917 : 20,585.90 = 8,202.28 : x
  2. Step 2: Convert to fraction form
    14,917/20,585.90 = 8,202.28/x
  3. Step 3: Cross multiply
    14,917x = 20,585.90 × 8,202.28
  4. Step 4: Simplify right side
    14,917x = 168,851,315.85
  5. Step 5: Solve for x
    x = 168,851,315.85/14,917
  6. Step 6: Final answer
    x = 11,319.39

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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.