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Finding the Fourth Proportional to 2,742.28, 3,784.29 and 1,500.28

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Solution

The fourth proportional to 2,742.28, 3,784.29 and 1,500.28 is: 2,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.28 : 3,784.29 = 1,500.28 : x
  2. Step 2: Convert to fraction form
    2,742.28/3,784.29 = 1,500.28/x
  3. Step 3: Cross multiply
    2,742.28x = 3,784.29 × 1,500.28
  4. Step 4: Simplify right side
    2,742.28x = 5,677,494.60
  5. Step 5: Solve for x
    x = 5,677,494.60/2,742.28
  6. Step 6: Final answer
    x = 2,070.36

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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.