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Finding the Fourth Proportional to 2,705.90, 3,734.94 and 1,587.08

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Solution

The fourth proportional to 2,705.90, 3,734.94 and 1,587.08 is: 2,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.90 : 3,734.94 = 1,587.08 : x
  2. Step 2: Convert to fraction form
    2,705.90/3,734.94 = 1,587.08/x
  3. Step 3: Cross multiply
    2,705.90x = 3,734.94 × 1,587.08
  4. Step 4: Simplify right side
    2,705.90x = 5,927,648.58
  5. Step 5: Solve for x
    x = 5,927,648.58/2,705.90
  6. Step 6: Final answer
    x = 2,190.64

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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.