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Finding the Fourth Proportional to 19,577.76, 29,369.44 and 7,890.08

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Solution

The fourth proportional to 19,577.76, 29,369.44 and 7,890.08 is: 11,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.76 : 29,369.44 = 7,890.08 : x
  2. Step 2: Convert to fraction form
    19,577.76/29,369.44 = 7,890.08/x
  3. Step 3: Cross multiply
    19,577.76x = 29,369.44 × 7,890.08
  4. Step 4: Simplify right side
    19,577.76x = 231,727,231.16
  5. Step 5: Solve for x
    x = 231,727,231.16/19,577.76
  6. Step 6: Final answer
    x = 11,836.25

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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.