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Finding the Fourth Proportional to 19,428.12, 29,098.44 and 9,018

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Solution

The fourth proportional to 19,428.12, 29,098.44 and 9,018 is: 13,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.12 : 29,098.44 = 9,018 : x
  2. Step 2: Convert to fraction form
    19,428.12/29,098.44 = 9,018/x
  3. Step 3: Cross multiply
    19,428.12x = 29,098.44 × 9,018
  4. Step 4: Simplify right side
    19,428.12x = 262,409,731.92
  5. Step 5: Solve for x
    x = 262,409,731.92/19,428.12
  6. Step 6: Final answer
    x = 13,506.70

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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.