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Finding the Fourth Proportional to 13,726.38, 20,573.65 and 6,315.28

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Solution

The fourth proportional to 13,726.38, 20,573.65 and 6,315.28 is: 9,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.38 : 20,573.65 = 6,315.28 : x
  2. Step 2: Convert to fraction form
    13,726.38/20,573.65 = 6,315.28/x
  3. Step 3: Cross multiply
    13,726.38x = 20,573.65 × 6,315.28
  4. Step 4: Simplify right side
    13,726.38x = 129,928,360.37
  5. Step 5: Solve for x
    x = 129,928,360.37/13,726.38
  6. Step 6: Final answer
    x = 9,465.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.