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Finding the Fourth Proportional to 21,804.65, 32,702.10 and 8,653.49

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Solution

The fourth proportional to 21,804.65, 32,702.10 and 8,653.49 is: 12,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804.65 : 32,702.10 = 8,653.49 : x
  2. Step 2: Convert to fraction form
    21,804.65/32,702.10 = 8,653.49/x
  3. Step 3: Cross multiply
    21,804.65x = 32,702.10 × 8,653.49
  4. Step 4: Simplify right side
    21,804.65x = 282,987,131.82
  5. Step 5: Solve for x
    x = 282,987,131.82/21,804.65
  6. Step 6: Final answer
    x = 12,978.30

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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.