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Finding the Fourth Proportional to 18,264, 25,204.50 and 9,880.68

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Solution

The fourth proportional to 18,264, 25,204.50 and 9,880.68 is: 13,635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264 : 25,204.50 = 9,880.68 : x
  2. Step 2: Convert to fraction form
    18,264/25,204.50 = 9,880.68/x
  3. Step 3: Cross multiply
    18,264x = 25,204.50 × 9,880.68
  4. Step 4: Simplify right side
    18,264x = 249,037,599.06
  5. Step 5: Solve for x
    x = 249,037,599.06/18,264
  6. Step 6: Final answer
    x = 13,635.44

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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.