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Finding the Fourth Proportional to 7,993.72, 10,972.64 and 7,089.76

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Solution

The fourth proportional to 7,993.72, 10,972.64 and 7,089.76 is: 9,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.72 : 10,972.64 = 7,089.76 : x
  2. Step 2: Convert to fraction form
    7,993.72/10,972.64 = 7,089.76/x
  3. Step 3: Cross multiply
    7,993.72x = 10,972.64 × 7,089.76
  4. Step 4: Simplify right side
    7,993.72x = 77,793,384.17
  5. Step 5: Solve for x
    x = 77,793,384.17/7,993.72
  6. Step 6: Final answer
    x = 9,731.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.