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Finding the Fourth Proportional to 13,145.64, 19,726.14 and 13,040.04

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Solution

The fourth proportional to 13,145.64, 19,726.14 and 13,040.04 is: 19,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.64 : 19,726.14 = 13,040.04 : x
  2. Step 2: Convert to fraction form
    13,145.64/19,726.14 = 13,040.04/x
  3. Step 3: Cross multiply
    13,145.64x = 19,726.14 × 13,040.04
  4. Step 4: Simplify right side
    13,145.64x = 257,229,654.65
  5. Step 5: Solve for x
    x = 257,229,654.65/13,145.64
  6. Step 6: Final answer
    x = 19,567.68

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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.