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Finding the Fourth Proportional to 19,886.34, 29,828.82 and 5,095.38

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Solution

The fourth proportional to 19,886.34, 29,828.82 and 5,095.38 is: 7,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.34 : 29,828.82 = 5,095.38 : x
  2. Step 2: Convert to fraction form
    19,886.34/29,828.82 = 5,095.38/x
  3. Step 3: Cross multiply
    19,886.34x = 29,828.82 × 5,095.38
  4. Step 4: Simplify right side
    19,886.34x = 151,989,172.85
  5. Step 5: Solve for x
    x = 151,989,172.85/19,886.34
  6. Step 6: Final answer
    x = 7,642.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.