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Finding the Fourth Proportional to 21,462.00, 32,187.14 and 8,980.00

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Solution

The fourth proportional to 21,462.00, 32,187.14 and 8,980.00 is: 13,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.00 : 32,187.14 = 8,980.00 : x
  2. Step 2: Convert to fraction form
    21,462.00/32,187.14 = 8,980.00/x
  3. Step 3: Cross multiply
    21,462.00x = 32,187.14 × 8,980.00
  4. Step 4: Simplify right side
    21,462.00x = 289,040,425.51
  5. Step 5: Solve for x
    x = 289,040,425.51/21,462.00
  6. Step 6: Final answer
    x = 13,467.55

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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.