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Finding the Fourth Proportional to 2,686.35, 3,705.35 and 2,189.01

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Solution

The fourth proportional to 2,686.35, 3,705.35 and 2,189.01 is: 3,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.35 : 3,705.35 = 2,189.01 : x
  2. Step 2: Convert to fraction form
    2,686.35/3,705.35 = 2,189.01/x
  3. Step 3: Cross multiply
    2,686.35x = 3,705.35 × 2,189.01
  4. Step 4: Simplify right side
    2,686.35x = 8,111,037.26
  5. Step 5: Solve for x
    x = 8,111,037.26/2,686.35
  6. Step 6: Final answer
    x = 3,019.35

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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.