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Finding the Fourth Proportional to 11,537, 17,307.66 and 5,381

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Solution

The fourth proportional to 11,537, 17,307.66 and 5,381 is: 8,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537 : 17,307.66 = 5,381 : x
  2. Step 2: Convert to fraction form
    11,537/17,307.66 = 5,381/x
  3. Step 3: Cross multiply
    11,537x = 17,307.66 × 5,381
  4. Step 4: Simplify right side
    11,537x = 93,132,518.46
  5. Step 5: Solve for x
    x = 93,132,518.46/11,537
  6. Step 6: Final answer
    x = 8,072.51

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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.