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Finding the Fourth Proportional to 1,774.31, 2,661.10 and 1,686.49

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Solution

The fourth proportional to 1,774.31, 2,661.10 and 1,686.49 is: 2,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.31 : 2,661.10 = 1,686.49 : x
  2. Step 2: Convert to fraction form
    1,774.31/2,661.10 = 1,686.49/x
  3. Step 3: Cross multiply
    1,774.31x = 2,661.10 × 1,686.49
  4. Step 4: Simplify right side
    1,774.31x = 4,487,907.67
  5. Step 5: Solve for x
    x = 4,487,907.67/1,774.31
  6. Step 6: Final answer
    x = 2,529.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.