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Finding the Fourth Proportional to 13,129.54, 19,648.05 and 8,201.50

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Solution

The fourth proportional to 13,129.54, 19,648.05 and 8,201.50 is: 12,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.54 : 19,648.05 = 8,201.50 : x
  2. Step 2: Convert to fraction form
    13,129.54/19,648.05 = 8,201.50/x
  3. Step 3: Cross multiply
    13,129.54x = 19,648.05 × 8,201.50
  4. Step 4: Simplify right side
    13,129.54x = 161,143,482.08
  5. Step 5: Solve for x
    x = 161,143,482.08/13,129.54
  6. Step 6: Final answer
    x = 12,273.35

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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.