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Finding the Fourth Proportional to 13,158, 19,712.16 and 10,201.50

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Solution

The fourth proportional to 13,158, 19,712.16 and 10,201.50 is: 15,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158 : 19,712.16 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    13,158/19,712.16 = 10,201.50/x
  3. Step 3: Cross multiply
    13,158x = 19,712.16 × 10,201.50
  4. Step 4: Simplify right side
    13,158x = 201,093,600.24
  5. Step 5: Solve for x
    x = 201,093,600.24/13,158
  6. Step 6: Final answer
    x = 15,282.99

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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.