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Finding the Fourth Proportional to 2,696.75, 3,718.90 and 1,752.80

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Solution

The fourth proportional to 2,696.75, 3,718.90 and 1,752.80 is: 2,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.75 : 3,718.90 = 1,752.80 : x
  2. Step 2: Convert to fraction form
    2,696.75/3,718.90 = 1,752.80/x
  3. Step 3: Cross multiply
    2,696.75x = 3,718.90 × 1,752.80
  4. Step 4: Simplify right side
    2,696.75x = 6,518,487.92
  5. Step 5: Solve for x
    x = 6,518,487.92/2,696.75
  6. Step 6: Final answer
    x = 2,417.16

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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.