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Finding the Fourth Proportional to 21,246.99, 31,870.49 and 5,664.62

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Solution

The fourth proportional to 21,246.99, 31,870.49 and 5,664.62 is: 8,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,246.99 : 31,870.49 = 5,664.62 : x
  2. Step 2: Convert to fraction form
    21,246.99/31,870.49 = 5,664.62/x
  3. Step 3: Cross multiply
    21,246.99x = 31,870.49 × 5,664.62
  4. Step 4: Simplify right side
    21,246.99x = 180,534,027.39
  5. Step 5: Solve for x
    x = 180,534,027.39/21,246.99
  6. Step 6: Final answer
    x = 8,496.92

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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.