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Finding the Fourth Proportional to 7,960.82, 11,000.02 and 5,730.08

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Solution

The fourth proportional to 7,960.82, 11,000.02 and 5,730.08 is: 7,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.82 : 11,000.02 = 5,730.08 : x
  2. Step 2: Convert to fraction form
    7,960.82/11,000.02 = 5,730.08/x
  3. Step 3: Cross multiply
    7,960.82x = 11,000.02 × 5,730.08
  4. Step 4: Simplify right side
    7,960.82x = 63,030,994.60
  5. Step 5: Solve for x
    x = 63,030,994.60/7,960.82
  6. Step 6: Final answer
    x = 7,917.65

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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.