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Finding the Fourth Proportional to 14,827, 20,461.26 and 8,203

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Solution

The fourth proportional to 14,827, 20,461.26 and 8,203 is: 11,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827 : 20,461.26 = 8,203 : x
  2. Step 2: Convert to fraction form
    14,827/20,461.26 = 8,203/x
  3. Step 3: Cross multiply
    14,827x = 20,461.26 × 8,203
  4. Step 4: Simplify right side
    14,827x = 167,843,715.78
  5. Step 5: Solve for x
    x = 167,843,715.78/14,827
  6. Step 6: Final answer
    x = 11,320.14

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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.