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Finding the Fourth Proportional to 2,706.64, 3,734.92 and 1,587.40

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Solution

The fourth proportional to 2,706.64, 3,734.92 and 1,587.40 is: 2,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.64 : 3,734.92 = 1,587.40 : x
  2. Step 2: Convert to fraction form
    2,706.64/3,734.92 = 1,587.40/x
  3. Step 3: Cross multiply
    2,706.64x = 3,734.92 × 1,587.40
  4. Step 4: Simplify right side
    2,706.64x = 5,928,812.01
  5. Step 5: Solve for x
    x = 5,928,812.01/2,706.64
  6. Step 6: Final answer
    x = 2,190.47

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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.