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Finding the Fourth Proportional to 21,724, 32,533.74 and 18,586

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Solution

The fourth proportional to 21,724, 32,533.74 and 18,586 is: 27,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724 : 32,533.74 = 18,586 : x
  2. Step 2: Convert to fraction form
    21,724/32,533.74 = 18,586/x
  3. Step 3: Cross multiply
    21,724x = 32,533.74 × 18,586
  4. Step 4: Simplify right side
    21,724x = 604,672,091.64
  5. Step 5: Solve for x
    x = 604,672,091.64/21,724
  6. Step 6: Final answer
    x = 27,834.29

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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.