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Finding the Fourth Proportional to 7,843.80, 10,819.69 and 4,655.00

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Solution

The fourth proportional to 7,843.80, 10,819.69 and 4,655.00 is: 6,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.80 : 10,819.69 = 4,655.00 : x
  2. Step 2: Convert to fraction form
    7,843.80/10,819.69 = 4,655.00/x
  3. Step 3: Cross multiply
    7,843.80x = 10,819.69 × 4,655.00
  4. Step 4: Simplify right side
    7,843.80x = 50,365,591.21
  5. Step 5: Solve for x
    x = 50,365,591.21/7,843.80
  6. Step 6: Final answer
    x = 6,421.07

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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.