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Finding the Fourth Proportional to 10,112, 13,954.72 and 6,392.64

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Solution

The fourth proportional to 10,112, 13,954.72 and 6,392.64 is: 8,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112 : 13,954.72 = 6,392.64 : x
  2. Step 2: Convert to fraction form
    10,112/13,954.72 = 6,392.64/x
  3. Step 3: Cross multiply
    10,112x = 13,954.72 × 6,392.64
  4. Step 4: Simplify right side
    10,112x = 89,207,501.26
  5. Step 5: Solve for x
    x = 89,207,501.26/10,112
  6. Step 6: Final answer
    x = 8,821.94

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1.5x scale

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.