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Finding the Fourth Proportional to 2,686.76, 3,706.10 and 1,690.32

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Solution

The fourth proportional to 2,686.76, 3,706.10 and 1,690.32 is: 2,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.76 : 3,706.10 = 1,690.32 : x
  2. Step 2: Convert to fraction form
    2,686.76/3,706.10 = 1,690.32/x
  3. Step 3: Cross multiply
    2,686.76x = 3,706.10 × 1,690.32
  4. Step 4: Simplify right side
    2,686.76x = 6,264,494.95
  5. Step 5: Solve for x
    x = 6,264,494.95/2,686.76
  6. Step 6: Final answer
    x = 2,331.62

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Half scale
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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.