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Finding the Fourth Proportional to 21,533.84, 32,299.84 and 6,742.43

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Solution

The fourth proportional to 21,533.84, 32,299.84 and 6,742.43 is: 10,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.84 : 32,299.84 = 6,742.43 : x
  2. Step 2: Convert to fraction form
    21,533.84/32,299.84 = 6,742.43/x
  3. Step 3: Cross multiply
    21,533.84x = 32,299.84 × 6,742.43
  4. Step 4: Simplify right side
    21,533.84x = 217,779,410.21
  5. Step 5: Solve for x
    x = 217,779,410.21/21,533.84
  6. Step 6: Final answer
    x = 10,113.36

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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.