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Finding the Fourth Proportional to 7,820.64, 11,730.54 and 1,976.92

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Solution

The fourth proportional to 7,820.64, 11,730.54 and 1,976.92 is: 2,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.64 : 11,730.54 = 1,976.92 : x
  2. Step 2: Convert to fraction form
    7,820.64/11,730.54 = 1,976.92/x
  3. Step 3: Cross multiply
    7,820.64x = 11,730.54 × 1,976.92
  4. Step 4: Simplify right side
    7,820.64x = 23,190,339.14
  5. Step 5: Solve for x
    x = 23,190,339.14/7,820.64
  6. Step 6: Final answer
    x = 2,965.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.