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Finding the Fourth Proportional to 13,814.99, 19,058.13 and 9,340.28

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Solution

The fourth proportional to 13,814.99, 19,058.13 and 9,340.28 is: 12,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.99 : 19,058.13 = 9,340.28 : x
  2. Step 2: Convert to fraction form
    13,814.99/19,058.13 = 9,340.28/x
  3. Step 3: Cross multiply
    13,814.99x = 19,058.13 × 9,340.28
  4. Step 4: Simplify right side
    13,814.99x = 178,008,175.19
  5. Step 5: Solve for x
    x = 178,008,175.19/13,814.99
  6. Step 6: Final answer
    x = 12,885.15

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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.