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Finding the Fourth Proportional to 5,156.57, 7,736.39 and 1,646.80

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Solution

The fourth proportional to 5,156.57, 7,736.39 and 1,646.80 is: 2,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.57 : 7,736.39 = 1,646.80 : x
  2. Step 2: Convert to fraction form
    5,156.57/7,736.39 = 1,646.80/x
  3. Step 3: Cross multiply
    5,156.57x = 7,736.39 × 1,646.80
  4. Step 4: Simplify right side
    5,156.57x = 12,740,278.82
  5. Step 5: Solve for x
    x = 12,740,278.82/5,156.57
  6. Step 6: Final answer
    x = 2,470.69

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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.