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Finding the Fourth Proportional to 7,852.03, 11,778.19 and 3,689.74

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Solution

The fourth proportional to 7,852.03, 11,778.19 and 3,689.74 is: 5,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.03 : 11,778.19 = 3,689.74 : x
  2. Step 2: Convert to fraction form
    7,852.03/11,778.19 = 3,689.74/x
  3. Step 3: Cross multiply
    7,852.03x = 11,778.19 × 3,689.74
  4. Step 4: Simplify right side
    7,852.03x = 43,458,458.77
  5. Step 5: Solve for x
    x = 43,458,458.77/7,852.03
  6. Step 6: Final answer
    x = 5,534.68

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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.