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Finding the Fourth Proportional to 21,202.65, 31,802.96 and 8,054.00

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Solution

The fourth proportional to 21,202.65, 31,802.96 and 8,054.00 is: 12,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.65 : 31,802.96 = 8,054.00 : x
  2. Step 2: Convert to fraction form
    21,202.65/31,802.96 = 8,054.00/x
  3. Step 3: Cross multiply
    21,202.65x = 31,802.96 × 8,054.00
  4. Step 4: Simplify right side
    21,202.65x = 256,140,840.56
  5. Step 5: Solve for x
    x = 256,140,840.56/21,202.65
  6. Step 6: Final answer
    x = 12,080.61

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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.