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Finding the Fourth Proportional to 7,852.95, 11,779.44 and 3,689.91

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Solution

The fourth proportional to 7,852.95, 11,779.44 and 3,689.91 is: 5,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.95 : 11,779.44 = 3,689.91 : x
  2. Step 2: Convert to fraction form
    7,852.95/11,779.44 = 3,689.91/x
  3. Step 3: Cross multiply
    7,852.95x = 11,779.44 × 3,689.91
  4. Step 4: Simplify right side
    7,852.95x = 43,465,073.45
  5. Step 5: Solve for x
    x = 43,465,073.45/7,852.95
  6. Step 6: Final answer
    x = 5,534.87

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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.