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Finding the Fourth Proportional to 21,890.24, 32,838 and 6,308

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Solution

The fourth proportional to 21,890.24, 32,838 and 6,308 is: 9,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890.24 : 32,838 = 6,308 : x
  2. Step 2: Convert to fraction form
    21,890.24/32,838 = 6,308/x
  3. Step 3: Cross multiply
    21,890.24x = 32,838 × 6,308
  4. Step 4: Simplify right side
    21,890.24x = 207,142,104
  5. Step 5: Solve for x
    x = 207,142,104/21,890.24
  6. Step 6: Final answer
    x = 9,462.76

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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.