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Finding the Fourth Proportional to 7,866.02, 11,805.77 and 4,170.82

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Solution

The fourth proportional to 7,866.02, 11,805.77 and 4,170.82 is: 6,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.02 : 11,805.77 = 4,170.82 : x
  2. Step 2: Convert to fraction form
    7,866.02/11,805.77 = 4,170.82/x
  3. Step 3: Cross multiply
    7,866.02x = 11,805.77 × 4,170.82
  4. Step 4: Simplify right side
    7,866.02x = 49,239,741.63
  5. Step 5: Solve for x
    x = 49,239,741.63/7,866.02
  6. Step 6: Final answer
    x = 6,259.80

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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.