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Finding the Fourth Proportional to 21,642.16, 32,481.66 and 8,503.72

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Solution

The fourth proportional to 21,642.16, 32,481.66 and 8,503.72 is: 12,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.16 : 32,481.66 = 8,503.72 : x
  2. Step 2: Convert to fraction form
    21,642.16/32,481.66 = 8,503.72/x
  3. Step 3: Cross multiply
    21,642.16x = 32,481.66 × 8,503.72
  4. Step 4: Simplify right side
    21,642.16x = 276,214,941.78
  5. Step 5: Solve for x
    x = 276,214,941.78/21,642.16
  6. Step 6: Final answer
    x = 12,762.82

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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.