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Finding the Fourth Proportional to 10,274, 14,178.12 and 6,550.16

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Solution

The fourth proportional to 10,274, 14,178.12 and 6,550.16 is: 9,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274 : 14,178.12 = 6,550.16 : x
  2. Step 2: Convert to fraction form
    10,274/14,178.12 = 6,550.16/x
  3. Step 3: Cross multiply
    10,274x = 14,178.12 × 6,550.16
  4. Step 4: Simplify right side
    10,274x = 92,868,954.50
  5. Step 5: Solve for x
    x = 92,868,954.50/10,274
  6. Step 6: Final answer
    x = 9,039.22

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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.