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Finding the Fourth Proportional to 5,674.60, 7,830.97 and 3,156.87

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Solution

The fourth proportional to 5,674.60, 7,830.97 and 3,156.87 is: 4,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.60 : 7,830.97 = 3,156.87 : x
  2. Step 2: Convert to fraction form
    5,674.60/7,830.97 = 3,156.87/x
  3. Step 3: Cross multiply
    5,674.60x = 7,830.97 × 3,156.87
  4. Step 4: Simplify right side
    5,674.60x = 24,721,375.74
  5. Step 5: Solve for x
    x = 24,721,375.74/5,674.60
  6. Step 6: Final answer
    x = 4,356.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.