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Finding the Fourth Proportional to 19,882.16, 29,822.93 and 5,090.96

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Solution

The fourth proportional to 19,882.16, 29,822.93 and 5,090.96 is: 7,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.16 : 29,822.93 = 5,090.96 : x
  2. Step 2: Convert to fraction form
    19,882.16/29,822.93 = 5,090.96/x
  3. Step 3: Cross multiply
    19,882.16x = 29,822.93 × 5,090.96
  4. Step 4: Simplify right side
    19,882.16x = 151,827,169.14
  5. Step 5: Solve for x
    x = 151,827,169.14/19,882.16
  6. Step 6: Final answer
    x = 7,636.35

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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.