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Finding the Fourth Proportional to 2,686.59, 3,706.10 and 1,689.99

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Solution

The fourth proportional to 2,686.59, 3,706.10 and 1,689.99 is: 2,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.59 : 3,706.10 = 1,689.99 : x
  2. Step 2: Convert to fraction form
    2,686.59/3,706.10 = 1,689.99/x
  3. Step 3: Cross multiply
    2,686.59x = 3,706.10 × 1,689.99
  4. Step 4: Simplify right side
    2,686.59x = 6,263,263.49
  5. Step 5: Solve for x
    x = 6,263,263.49/2,686.59
  6. Step 6: Final answer
    x = 2,331.31

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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.