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Finding the Fourth Proportional to 7,964.98, 10,991.16 and 4,428.10

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Solution

The fourth proportional to 7,964.98, 10,991.16 and 4,428.10 is: 6,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.98 : 10,991.16 = 4,428.10 : x
  2. Step 2: Convert to fraction form
    7,964.98/10,991.16 = 4,428.10/x
  3. Step 3: Cross multiply
    7,964.98x = 10,991.16 × 4,428.10
  4. Step 4: Simplify right side
    7,964.98x = 48,669,955.60
  5. Step 5: Solve for x
    x = 48,669,955.60/7,964.98
  6. Step 6: Final answer
    x = 6,110.49

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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.