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Finding the Fourth Proportional to 21,500.93, 32,255.64 and 8,354.63

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Solution

The fourth proportional to 21,500.93, 32,255.64 and 8,354.63 is: 12,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.93 : 32,255.64 = 8,354.63 : x
  2. Step 2: Convert to fraction form
    21,500.93/32,255.64 = 8,354.63/x
  3. Step 3: Cross multiply
    21,500.93x = 32,255.64 × 8,354.63
  4. Step 4: Simplify right side
    21,500.93x = 269,483,776.34
  5. Step 5: Solve for x
    x = 269,483,776.34/21,500.93
  6. Step 6: Final answer
    x = 12,533.59

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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.