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Finding the Fourth Proportional to 21,651, 32,477.45 and 6,861.02

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Solution

The fourth proportional to 21,651, 32,477.45 and 6,861.02 is: 10,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,651 : 32,477.45 = 6,861.02 : x
  2. Step 2: Convert to fraction form
    21,651/32,477.45 = 6,861.02/x
  3. Step 3: Cross multiply
    21,651x = 32,477.45 × 6,861.02
  4. Step 4: Simplify right side
    21,651x = 222,828,237.31
  5. Step 5: Solve for x
    x = 222,828,237.31/21,651
  6. Step 6: Final answer
    x = 10,291.82

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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.