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Finding the Fourth Proportional to 3,668.60, 5,494.80 and 2,356.40

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Solution

The fourth proportional to 3,668.60, 5,494.80 and 2,356.40 is: 3,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.60 : 5,494.80 = 2,356.40 : x
  2. Step 2: Convert to fraction form
    3,668.60/5,494.80 = 2,356.40/x
  3. Step 3: Cross multiply
    3,668.60x = 5,494.80 × 2,356.40
  4. Step 4: Simplify right side
    3,668.60x = 12,947,946.72
  5. Step 5: Solve for x
    x = 12,947,946.72/3,668.60
  6. Step 6: Final answer
    x = 3,529.40

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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.