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Finding the Fourth Proportional to 18,267, 25,208.64 and 9,883.68

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Solution

The fourth proportional to 18,267, 25,208.64 and 9,883.68 is: 13,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267 : 25,208.64 = 9,883.68 : x
  2. Step 2: Convert to fraction form
    18,267/25,208.64 = 9,883.68/x
  3. Step 3: Cross multiply
    18,267x = 25,208.64 × 9,883.68
  4. Step 4: Simplify right side
    18,267x = 249,154,131.00
  5. Step 5: Solve for x
    x = 249,154,131.00/18,267
  6. Step 6: Final answer
    x = 13,639.58

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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.