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Finding the Fourth Proportional to 21,665.86, 32,485.22 and 8,502.95

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Solution

The fourth proportional to 21,665.86, 32,485.22 and 8,502.95 is: 12,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.86 : 32,485.22 = 8,502.95 : x
  2. Step 2: Convert to fraction form
    21,665.86/32,485.22 = 8,502.95/x
  3. Step 3: Cross multiply
    21,665.86x = 32,485.22 × 8,502.95
  4. Step 4: Simplify right side
    21,665.86x = 276,220,271.98
  5. Step 5: Solve for x
    x = 276,220,271.98/21,665.86
  6. Step 6: Final answer
    x = 12,749.10

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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.