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Finding the Fourth Proportional to 7,805.58, 11,709.45 and 3,187.50

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Solution

The fourth proportional to 7,805.58, 11,709.45 and 3,187.50 is: 4,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.58 : 11,709.45 = 3,187.50 : x
  2. Step 2: Convert to fraction form
    7,805.58/11,709.45 = 3,187.50/x
  3. Step 3: Cross multiply
    7,805.58x = 11,709.45 × 3,187.50
  4. Step 4: Simplify right side
    7,805.58x = 37,323,871.88
  5. Step 5: Solve for x
    x = 37,323,871.88/7,805.58
  6. Step 6: Final answer
    x = 4,781.69

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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.