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Finding the Fourth Proportional to 21,834, 30,130.92 and 11,898.64

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Solution

The fourth proportional to 21,834, 30,130.92 and 11,898.64 is: 16,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834 : 30,130.92 = 11,898.64 : x
  2. Step 2: Convert to fraction form
    21,834/30,130.92 = 11,898.64/x
  3. Step 3: Cross multiply
    21,834x = 30,130.92 × 11,898.64
  4. Step 4: Simplify right side
    21,834x = 358,516,969.95
  5. Step 5: Solve for x
    x = 358,516,969.95/21,834
  6. Step 6: Final answer
    x = 16,420.12

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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.