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Finding the Fourth Proportional to 14,407.41, 21,620.84 and 5,641.23

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Solution

The fourth proportional to 14,407.41, 21,620.84 and 5,641.23 is: 8,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.41 : 21,620.84 = 5,641.23 : x
  2. Step 2: Convert to fraction form
    14,407.41/21,620.84 = 5,641.23/x
  3. Step 3: Cross multiply
    14,407.41x = 21,620.84 × 5,641.23
  4. Step 4: Simplify right side
    14,407.41x = 121,968,103.03
  5. Step 5: Solve for x
    x = 121,968,103.03/14,407.41
  6. Step 6: Final answer
    x = 8,465.65

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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.