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Finding the Fourth Proportional to 2,618.84, 3,946.25 and 2,166.80

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Solution

The fourth proportional to 2,618.84, 3,946.25 and 2,166.80 is: 3,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.84 : 3,946.25 = 2,166.80 : x
  2. Step 2: Convert to fraction form
    2,618.84/3,946.25 = 2,166.80/x
  3. Step 3: Cross multiply
    2,618.84x = 3,946.25 × 2,166.80
  4. Step 4: Simplify right side
    2,618.84x = 8,550,720.19
  5. Step 5: Solve for x
    x = 8,550,720.19/2,618.84
  6. Step 6: Final answer
    x = 3,265.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.