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Finding the Fourth Proportional to 21,409.90, 32,115.75 and 6,619.10

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Solution

The fourth proportional to 21,409.90, 32,115.75 and 6,619.10 is: 9,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.90 : 32,115.75 = 6,619.10 : x
  2. Step 2: Convert to fraction form
    21,409.90/32,115.75 = 6,619.10/x
  3. Step 3: Cross multiply
    21,409.90x = 32,115.75 × 6,619.10
  4. Step 4: Simplify right side
    21,409.90x = 212,577,200.25
  5. Step 5: Solve for x
    x = 212,577,200.25/21,409.90
  6. Step 6: Final answer
    x = 9,928.92

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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.