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Finding the Fourth Proportional to 14,802.21, 20,427 and 8,514.57

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Solution

The fourth proportional to 14,802.21, 20,427 and 8,514.57 is: 11,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.21 : 20,427 = 8,514.57 : x
  2. Step 2: Convert to fraction form
    14,802.21/20,427 = 8,514.57/x
  3. Step 3: Cross multiply
    14,802.21x = 20,427 × 8,514.57
  4. Step 4: Simplify right side
    14,802.21x = 173,927,121.39
  5. Step 5: Solve for x
    x = 173,927,121.39/14,802.21
  6. Step 6: Final answer
    x = 11,750.08

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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.