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Finding the Fourth Proportional to 21,098.58, 31,647.90 and 8,624.49

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Solution

The fourth proportional to 21,098.58, 31,647.90 and 8,624.49 is: 12,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.58 : 31,647.90 = 8,624.49 : x
  2. Step 2: Convert to fraction form
    21,098.58/31,647.90 = 8,624.49/x
  3. Step 3: Cross multiply
    21,098.58x = 31,647.90 × 8,624.49
  4. Step 4: Simplify right side
    21,098.58x = 272,946,997.07
  5. Step 5: Solve for x
    x = 272,946,997.07/21,098.58
  6. Step 6: Final answer
    x = 12,936.75

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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.