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Finding the Fourth Proportional to 21,165.84, 31,748.76 and 8,683.74

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Solution

The fourth proportional to 21,165.84, 31,748.76 and 8,683.74 is: 13,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.84 : 31,748.76 = 8,683.74 : x
  2. Step 2: Convert to fraction form
    21,165.84/31,748.76 = 8,683.74/x
  3. Step 3: Cross multiply
    21,165.84x = 31,748.76 × 8,683.74
  4. Step 4: Simplify right side
    21,165.84x = 275,697,977.16
  5. Step 5: Solve for x
    x = 275,697,977.16/21,165.84
  6. Step 6: Final answer
    x = 13,025.61

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Similar ratio
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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.