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Finding the Fourth Proportional to 14,261.25, 19,679.71 and 7,887.46

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Solution

The fourth proportional to 14,261.25, 19,679.71 and 7,887.46 is: 10,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.25 : 19,679.71 = 7,887.46 : x
  2. Step 2: Convert to fraction form
    14,261.25/19,679.71 = 7,887.46/x
  3. Step 3: Cross multiply
    14,261.25x = 19,679.71 × 7,887.46
  4. Step 4: Simplify right side
    14,261.25x = 155,222,925.44
  5. Step 5: Solve for x
    x = 155,222,925.44/14,261.25
  6. Step 6: Final answer
    x = 10,884.24

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