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Finding the Fourth Proportional to 7,964.87, 10,991.70 and 4,428

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Solution

The fourth proportional to 7,964.87, 10,991.70 and 4,428 is: 6,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.87 : 10,991.70 = 4,428 : x
  2. Step 2: Convert to fraction form
    7,964.87/10,991.70 = 4,428/x
  3. Step 3: Cross multiply
    7,964.87x = 10,991.70 × 4,428
  4. Step 4: Simplify right side
    7,964.87x = 48,671,247.60
  5. Step 5: Solve for x
    x = 48,671,247.60/7,964.87
  6. Step 6: Final answer
    x = 6,110.74

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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.