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Finding the Fourth Proportional to 9,954.66, 13,738.70 and 6,428.12

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Solution

The fourth proportional to 9,954.66, 13,738.70 and 6,428.12 is: 8,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.66 : 13,738.70 = 6,428.12 : x
  2. Step 2: Convert to fraction form
    9,954.66/13,738.70 = 6,428.12/x
  3. Step 3: Cross multiply
    9,954.66x = 13,738.70 × 6,428.12
  4. Step 4: Simplify right side
    9,954.66x = 88,313,980.10
  5. Step 5: Solve for x
    x = 88,313,980.10/9,954.66
  6. Step 6: Final answer
    x = 8,871.62

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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.