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Finding the Fourth Proportional to 19,388, 29,082.96 and 6,239.36

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Solution

The fourth proportional to 19,388, 29,082.96 and 6,239.36 is: 9,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,388 : 29,082.96 = 6,239.36 : x
  2. Step 2: Convert to fraction form
    19,388/29,082.96 = 6,239.36/x
  3. Step 3: Cross multiply
    19,388x = 29,082.96 × 6,239.36
  4. Step 4: Simplify right side
    19,388x = 181,459,057.31
  5. Step 5: Solve for x
    x = 181,459,057.31/19,388
  6. Step 6: Final answer
    x = 9,359.35

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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.