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Finding the Fourth Proportional to 21,804.57, 32,708.85 and 7,009.83

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Solution

The fourth proportional to 21,804.57, 32,708.85 and 7,009.83 is: 10,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804.57 : 32,708.85 = 7,009.83 : x
  2. Step 2: Convert to fraction form
    21,804.57/32,708.85 = 7,009.83/x
  3. Step 3: Cross multiply
    21,804.57x = 32,708.85 × 7,009.83
  4. Step 4: Simplify right side
    21,804.57x = 229,283,478.00
  5. Step 5: Solve for x
    x = 229,283,478.00/21,804.57
  6. Step 6: Final answer
    x = 10,515.39

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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.