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Finding the Fourth Proportional to 21,619, 32,409.94 and 7,577.08

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Solution

The fourth proportional to 21,619, 32,409.94 and 7,577.08 is: 11,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619 : 32,409.94 = 7,577.08 : x
  2. Step 2: Convert to fraction form
    21,619/32,409.94 = 7,577.08/x
  3. Step 3: Cross multiply
    21,619x = 32,409.94 × 7,577.08
  4. Step 4: Simplify right side
    21,619x = 245,572,708.18
  5. Step 5: Solve for x
    x = 245,572,708.18/21,619
  6. Step 6: Final answer
    x = 11,359.12

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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.