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Finding the Fourth Proportional to 14,406.66, 21,619.71 and 5,640.48

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Solution

The fourth proportional to 14,406.66, 21,619.71 and 5,640.48 is: 8,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.66 : 21,619.71 = 5,640.48 : x
  2. Step 2: Convert to fraction form
    14,406.66/21,619.71 = 5,640.48/x
  3. Step 3: Cross multiply
    14,406.66x = 21,619.71 × 5,640.48
  4. Step 4: Simplify right side
    14,406.66x = 121,945,541.86
  5. Step 5: Solve for x
    x = 121,945,541.86/14,406.66
  6. Step 6: Final answer
    x = 8,464.53

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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.