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Finding the Fourth Proportional to 18,388, 27,582.56 and 4,537

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Solution

The fourth proportional to 18,388, 27,582.56 and 4,537 is: 6,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,388 : 27,582.56 = 4,537 : x
  2. Step 2: Convert to fraction form
    18,388/27,582.56 = 4,537/x
  3. Step 3: Cross multiply
    18,388x = 27,582.56 × 4,537
  4. Step 4: Simplify right side
    18,388x = 125,142,074.72
  5. Step 5: Solve for x
    x = 125,142,074.72/18,388
  6. Step 6: Final answer
    x = 6,805.64

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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.