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Finding the Fourth Proportional to 7,852.68, 11,780.84 and 2,587.50

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Solution

The fourth proportional to 7,852.68, 11,780.84 and 2,587.50 is: 3,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.68 : 11,780.84 = 2,587.50 : x
  2. Step 2: Convert to fraction form
    7,852.68/11,780.84 = 2,587.50/x
  3. Step 3: Cross multiply
    7,852.68x = 11,780.84 × 2,587.50
  4. Step 4: Simplify right side
    7,852.68x = 30,482,910.56
  5. Step 5: Solve for x
    x = 30,482,910.56/7,852.68
  6. Step 6: Final answer
    x = 3,881.85

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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.