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Finding the Fourth Proportional to 21,643.05, 32,479.16 and 8,493.87

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Solution

The fourth proportional to 21,643.05, 32,479.16 and 8,493.87 is: 12,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.05 : 32,479.16 = 8,493.87 : x
  2. Step 2: Convert to fraction form
    21,643.05/32,479.16 = 8,493.87/x
  3. Step 3: Cross multiply
    21,643.05x = 32,479.16 × 8,493.87
  4. Step 4: Simplify right side
    21,643.05x = 275,873,762.75
  5. Step 5: Solve for x
    x = 275,873,762.75/21,643.05
  6. Step 6: Final answer
    x = 12,746.53

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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.