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Finding the Fourth Proportional to 18,278, 25,223.64 and 9,894.50

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Solution

The fourth proportional to 18,278, 25,223.64 and 9,894.50 is: 13,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278 : 25,223.64 = 9,894.50 : x
  2. Step 2: Convert to fraction form
    18,278/25,223.64 = 9,894.50/x
  3. Step 3: Cross multiply
    18,278x = 25,223.64 × 9,894.50
  4. Step 4: Simplify right side
    18,278x = 249,575,305.98
  5. Step 5: Solve for x
    x = 249,575,305.98/18,278
  6. Step 6: Final answer
    x = 13,654.41

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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.