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Finding the Fourth Proportional to 2,668.92, 3,684.14 and 1,784.40

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Solution

The fourth proportional to 2,668.92, 3,684.14 and 1,784.40 is: 2,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.92 : 3,684.14 = 1,784.40 : x
  2. Step 2: Convert to fraction form
    2,668.92/3,684.14 = 1,784.40/x
  3. Step 3: Cross multiply
    2,668.92x = 3,684.14 × 1,784.40
  4. Step 4: Simplify right side
    2,668.92x = 6,573,970.49
  5. Step 5: Solve for x
    x = 6,573,970.49/2,668.92
  6. Step 6: Final answer
    x = 2,463.16

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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.