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Finding the Fourth Proportional to 3,148.60, 4,741.64 and 2,742.64

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Solution

The fourth proportional to 3,148.60, 4,741.64 and 2,742.64 is: 4,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.60 : 4,741.64 = 2,742.64 : x
  2. Step 2: Convert to fraction form
    3,148.60/4,741.64 = 2,742.64/x
  3. Step 3: Cross multiply
    3,148.60x = 4,741.64 × 2,742.64
  4. Step 4: Simplify right side
    3,148.60x = 13,004,611.53
  5. Step 5: Solve for x
    x = 13,004,611.53/3,148.60
  6. Step 6: Final answer
    x = 4,130.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.