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Finding the Fourth Proportional to 21,798, 32,697.32 and 6,215.63

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Solution

The fourth proportional to 21,798, 32,697.32 and 6,215.63 is: 9,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798 : 32,697.32 = 6,215.63 : x
  2. Step 2: Convert to fraction form
    21,798/32,697.32 = 6,215.63/x
  3. Step 3: Cross multiply
    21,798x = 32,697.32 × 6,215.63
  4. Step 4: Simplify right side
    21,798x = 203,234,248.55
  5. Step 5: Solve for x
    x = 203,234,248.55/21,798
  6. Step 6: Final answer
    x = 9,323.53

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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.