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Finding the Fourth Proportional to 10,278, 14,121.88 and 8,178.48

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Solution

The fourth proportional to 10,278, 14,121.88 and 8,178.48 is: 11,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 14,121.88 = 8,178.48 : x
  2. Step 2: Convert to fraction form
    10,278/14,121.88 = 8,178.48/x
  3. Step 3: Cross multiply
    10,278x = 14,121.88 × 8,178.48
  4. Step 4: Simplify right side
    10,278x = 115,495,513.14
  5. Step 5: Solve for x
    x = 115,495,513.14/10,278
  6. Step 6: Final answer
    x = 11,237.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.