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Finding the Fourth Proportional to 13,201.67, 19,807.05 and 8,265.42

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Solution

The fourth proportional to 13,201.67, 19,807.05 and 8,265.42 is: 12,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.67 : 19,807.05 = 8,265.42 : x
  2. Step 2: Convert to fraction form
    13,201.67/19,807.05 = 8,265.42/x
  3. Step 3: Cross multiply
    13,201.67x = 19,807.05 × 8,265.42
  4. Step 4: Simplify right side
    13,201.67x = 163,713,587.21
  5. Step 5: Solve for x
    x = 163,713,587.21/13,201.67
  6. Step 6: Final answer
    x = 12,400.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.