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Finding the Fourth Proportional to 7,980.65, 11,970.98 and 3,819.68

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Solution

The fourth proportional to 7,980.65, 11,970.98 and 3,819.68 is: 5,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.65 : 11,970.98 = 3,819.68 : x
  2. Step 2: Convert to fraction form
    7,980.65/11,970.98 = 3,819.68/x
  3. Step 3: Cross multiply
    7,980.65x = 11,970.98 × 3,819.68
  4. Step 4: Simplify right side
    7,980.65x = 45,725,312.89
  5. Step 5: Solve for x
    x = 45,725,312.89/7,980.65
  6. Step 6: Final answer
    x = 5,729.52

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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.