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Finding the Fourth Proportional to 17,102.40, 25,610.40 and 13,646.40

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Solution

The fourth proportional to 17,102.40, 25,610.40 and 13,646.40 is: 20,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.40 : 25,610.40 = 13,646.40 : x
  2. Step 2: Convert to fraction form
    17,102.40/25,610.40 = 13,646.40/x
  3. Step 3: Cross multiply
    17,102.40x = 25,610.40 × 13,646.40
  4. Step 4: Simplify right side
    17,102.40x = 349,489,762.56
  5. Step 5: Solve for x
    x = 349,489,762.56/17,102.40
  6. Step 6: Final answer
    x = 20,435.13

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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.