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Finding the Fourth Proportional to 14,521.96, 20,040.42 and 7,897.96

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Solution

The fourth proportional to 14,521.96, 20,040.42 and 7,897.96 is: 10,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.96 : 20,040.42 = 7,897.96 : x
  2. Step 2: Convert to fraction form
    14,521.96/20,040.42 = 7,897.96/x
  3. Step 3: Cross multiply
    14,521.96x = 20,040.42 × 7,897.96
  4. Step 4: Simplify right side
    14,521.96x = 158,278,435.54
  5. Step 5: Solve for x
    x = 158,278,435.54/14,521.96
  6. Step 6: Final answer
    x = 10,899.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.