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Finding the Fourth Proportional to 21,457.73, 29,612.02 and 11,898.02

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Solution

The fourth proportional to 21,457.73, 29,612.02 and 11,898.02 is: 16,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.73 : 29,612.02 = 11,898.02 : x
  2. Step 2: Convert to fraction form
    21,457.73/29,612.02 = 11,898.02/x
  3. Step 3: Cross multiply
    21,457.73x = 29,612.02 × 11,898.02
  4. Step 4: Simplify right side
    21,457.73x = 352,324,213.52
  5. Step 5: Solve for x
    x = 352,324,213.52/21,457.73
  6. Step 6: Final answer
    x = 16,419.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.