Home / 5,106.86-7,660.95-1,820.90

Finding the Fourth Proportional to 5,106.86, 7,660.95 and 1,820.90

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Solution

The fourth proportional to 5,106.86, 7,660.95 and 1,820.90 is: 2,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.86 : 7,660.95 = 1,820.90 : x
  2. Step 2: Convert to fraction form
    5,106.86/7,660.95 = 1,820.90/x
  3. Step 3: Cross multiply
    5,106.86x = 7,660.95 × 1,820.90
  4. Step 4: Simplify right side
    5,106.86x = 13,949,823.86
  5. Step 5: Solve for x
    x = 13,949,823.86/5,106.86
  6. Step 6: Final answer
    x = 2,731.59

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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.