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Finding the Fourth Proportional to 21,461.68, 32,181.54 and 9,764.92

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Solution

The fourth proportional to 21,461.68, 32,181.54 and 9,764.92 is: 14,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.68 : 32,181.54 = 9,764.92 : x
  2. Step 2: Convert to fraction form
    21,461.68/32,181.54 = 9,764.92/x
  3. Step 3: Cross multiply
    21,461.68x = 32,181.54 × 9,764.92
  4. Step 4: Simplify right side
    21,461.68x = 314,250,163.58
  5. Step 5: Solve for x
    x = 314,250,163.58/21,461.68
  6. Step 6: Final answer
    x = 14,642.38

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1.5x scale

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.