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Finding the Fourth Proportional to 13,259, 19,888.98 and 4,025

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Solution

The fourth proportional to 13,259, 19,888.98 and 4,025 is: 6,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259 : 19,888.98 = 4,025 : x
  2. Step 2: Convert to fraction form
    13,259/19,888.98 = 4,025/x
  3. Step 3: Cross multiply
    13,259x = 19,888.98 × 4,025
  4. Step 4: Simplify right side
    13,259x = 80,053,144.50
  5. Step 5: Solve for x
    x = 80,053,144.50/13,259
  6. Step 6: Final answer
    x = 6,037.65

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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.