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Finding the Fourth Proportional to 21,526, 32,301.96 and 9,214

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Solution

The fourth proportional to 21,526, 32,301.96 and 9,214 is: 13,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,526 : 32,301.96 = 9,214 : x
  2. Step 2: Convert to fraction form
    21,526/32,301.96 = 9,214/x
  3. Step 3: Cross multiply
    21,526x = 32,301.96 × 9,214
  4. Step 4: Simplify right side
    21,526x = 297,630,259.44
  5. Step 5: Solve for x
    x = 297,630,259.44/21,526
  6. Step 6: Final answer
    x = 13,826.55

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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.