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Finding the Fourth Proportional to 21,663, 32,494.50 and 5,247

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Solution

The fourth proportional to 21,663, 32,494.50 and 5,247 is: 7,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663 : 32,494.50 = 5,247 : x
  2. Step 2: Convert to fraction form
    21,663/32,494.50 = 5,247/x
  3. Step 3: Cross multiply
    21,663x = 32,494.50 × 5,247
  4. Step 4: Simplify right side
    21,663x = 170,498,641.50
  5. Step 5: Solve for x
    x = 170,498,641.50/21,663
  6. Step 6: Final answer
    x = 7,870.50

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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.