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Finding the Fourth Proportional to 7,972, 10,998.96 and 4,614.88

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Solution

The fourth proportional to 7,972, 10,998.96 and 4,614.88 is: 6,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 10,998.96 = 4,614.88 : x
  2. Step 2: Convert to fraction form
    7,972/10,998.96 = 4,614.88/x
  3. Step 3: Cross multiply
    7,972x = 10,998.96 × 4,614.88
  4. Step 4: Simplify right side
    7,972x = 50,758,880.52
  5. Step 5: Solve for x
    x = 50,758,880.52/7,972
  6. Step 6: Final answer
    x = 6,367.15

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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.