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Finding the Fourth Proportional to 21,656.75, 32,460.35 and 9,819.54

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Solution

The fourth proportional to 21,656.75, 32,460.35 and 9,819.54 is: 14,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.75 : 32,460.35 = 9,819.54 : x
  2. Step 2: Convert to fraction form
    21,656.75/32,460.35 = 9,819.54/x
  3. Step 3: Cross multiply
    21,656.75x = 32,460.35 × 9,819.54
  4. Step 4: Simplify right side
    21,656.75x = 318,745,656.14
  5. Step 5: Solve for x
    x = 318,745,656.14/21,656.75
  6. Step 6: Final answer
    x = 14,718.08

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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.