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Finding the Fourth Proportional to 14,643.56, 21,957.60 and 4,781.60

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Solution

The fourth proportional to 14,643.56, 21,957.60 and 4,781.60 is: 7,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.56 : 21,957.60 = 4,781.60 : x
  2. Step 2: Convert to fraction form
    14,643.56/21,957.60 = 4,781.60/x
  3. Step 3: Cross multiply
    14,643.56x = 21,957.60 × 4,781.60
  4. Step 4: Simplify right side
    14,643.56x = 104,992,460.16
  5. Step 5: Solve for x
    x = 104,992,460.16/14,643.56
  6. Step 6: Final answer
    x = 7,169.87

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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.