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Finding the Fourth Proportional to 14,813.82, 20,443.59 and 9,782.46

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Solution

The fourth proportional to 14,813.82, 20,443.59 and 9,782.46 is: 13,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.82 : 20,443.59 = 9,782.46 : x
  2. Step 2: Convert to fraction form
    14,813.82/20,443.59 = 9,782.46/x
  3. Step 3: Cross multiply
    14,813.82x = 20,443.59 × 9,782.46
  4. Step 4: Simplify right side
    14,813.82x = 199,988,601.43
  5. Step 5: Solve for x
    x = 199,988,601.43/14,813.82
  6. Step 6: Final answer
    x = 13,500.14

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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.