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Finding the Fourth Proportional to 5,820.76, 8,729.83 and 1,660.65

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Solution

The fourth proportional to 5,820.76, 8,729.83 and 1,660.65 is: 2,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.76 : 8,729.83 = 1,660.65 : x
  2. Step 2: Convert to fraction form
    5,820.76/8,729.83 = 1,660.65/x
  3. Step 3: Cross multiply
    5,820.76x = 8,729.83 × 1,660.65
  4. Step 4: Simplify right side
    5,820.76x = 14,497,201.29
  5. Step 5: Solve for x
    x = 14,497,201.29/5,820.76
  6. Step 6: Final answer
    x = 2,490.60

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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.