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Finding the Fourth Proportional to 21,898.35, 32,850.63 and 7,102.53

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Solution

The fourth proportional to 21,898.35, 32,850.63 and 7,102.53 is: 10,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.35 : 32,850.63 = 7,102.53 : x
  2. Step 2: Convert to fraction form
    21,898.35/32,850.63 = 7,102.53/x
  3. Step 3: Cross multiply
    21,898.35x = 32,850.63 × 7,102.53
  4. Step 4: Simplify right side
    21,898.35x = 233,322,585.09
  5. Step 5: Solve for x
    x = 233,322,585.09/21,898.35
  6. Step 6: Final answer
    x = 10,654.80

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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.