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Finding the Fourth Proportional to 3,406.51, 4,702.08 and 1,991.17

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Solution

The fourth proportional to 3,406.51, 4,702.08 and 1,991.17 is: 2,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.51 : 4,702.08 = 1,991.17 : x
  2. Step 2: Convert to fraction form
    3,406.51/4,702.08 = 1,991.17/x
  3. Step 3: Cross multiply
    3,406.51x = 4,702.08 × 1,991.17
  4. Step 4: Simplify right side
    3,406.51x = 9,362,640.63
  5. Step 5: Solve for x
    x = 9,362,640.63/3,406.51
  6. Step 6: Final answer
    x = 2,748.46

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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.