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Finding the Fourth Proportional to 25,515, 38,277.36 and 11,664

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Solution

The fourth proportional to 25,515, 38,277.36 and 11,664 is: 17,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515 : 38,277.36 = 11,664 : x
  2. Step 2: Convert to fraction form
    25,515/38,277.36 = 11,664/x
  3. Step 3: Cross multiply
    25,515x = 38,277.36 × 11,664
  4. Step 4: Simplify right side
    25,515x = 446,467,127.04
  5. Step 5: Solve for x
    x = 446,467,127.04/25,515
  6. Step 6: Final answer
    x = 17,498.22

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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.