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Finding the Fourth Proportional to 5,180.86, 7,772.80 and 1,670.79

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Solution

The fourth proportional to 5,180.86, 7,772.80 and 1,670.79 is: 2,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.86 : 7,772.80 = 1,670.79 : x
  2. Step 2: Convert to fraction form
    5,180.86/7,772.80 = 1,670.79/x
  3. Step 3: Cross multiply
    5,180.86x = 7,772.80 × 1,670.79
  4. Step 4: Simplify right side
    5,180.86x = 12,986,758.17
  5. Step 5: Solve for x
    x = 12,986,758.17/5,180.86
  6. Step 6: Final answer
    x = 2,506.68

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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.