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Finding the Fourth Proportional to 2,687.67, 3,705.12 and 1,888.56

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Solution

The fourth proportional to 2,687.67, 3,705.12 and 1,888.56 is: 2,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.67 : 3,705.12 = 1,888.56 : x
  2. Step 2: Convert to fraction form
    2,687.67/3,705.12 = 1,888.56/x
  3. Step 3: Cross multiply
    2,687.67x = 3,705.12 × 1,888.56
  4. Step 4: Simplify right side
    2,687.67x = 6,997,341.43
  5. Step 5: Solve for x
    x = 6,997,341.43/2,687.67
  6. Step 6: Final answer
    x = 2,603.50

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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.