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Finding the Fourth Proportional to 21,967.21, 32,969.65 and 8,829.01

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Solution

The fourth proportional to 21,967.21, 32,969.65 and 8,829.01 is: 13,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.21 : 32,969.65 = 8,829.01 : x
  2. Step 2: Convert to fraction form
    21,967.21/32,969.65 = 8,829.01/x
  3. Step 3: Cross multiply
    21,967.21x = 32,969.65 × 8,829.01
  4. Step 4: Simplify right side
    21,967.21x = 291,089,405.24
  5. Step 5: Solve for x
    x = 291,089,405.24/21,967.21
  6. Step 6: Final answer
    x = 13,251.09

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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.