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Finding the Fourth Proportional to 14,266.36, 19,686.66 and 7,977.64

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Solution

The fourth proportional to 14,266.36, 19,686.66 and 7,977.64 is: 11,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.36 : 19,686.66 = 7,977.64 : x
  2. Step 2: Convert to fraction form
    14,266.36/19,686.66 = 7,977.64/x
  3. Step 3: Cross multiply
    14,266.36x = 19,686.66 × 7,977.64
  4. Step 4: Simplify right side
    14,266.36x = 157,053,086.28
  5. Step 5: Solve for x
    x = 157,053,086.28/14,266.36
  6. Step 6: Final answer
    x = 11,008.63

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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.