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Finding the Fourth Proportional to 7,785.68, 11,695.80 and 7,539.92

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Solution

The fourth proportional to 7,785.68, 11,695.80 and 7,539.92 is: 11,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.68 : 11,695.80 = 7,539.92 : x
  2. Step 2: Convert to fraction form
    7,785.68/11,695.80 = 7,539.92/x
  3. Step 3: Cross multiply
    7,785.68x = 11,695.80 × 7,539.92
  4. Step 4: Simplify right side
    7,785.68x = 88,185,396.34
  5. Step 5: Solve for x
    x = 88,185,396.34/7,785.68
  6. Step 6: Final answer
    x = 11,326.61

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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.